Plus equals
Author: n | 2025-04-23
1 plus 1 equals 2 plus 2 equals 4 plus 4 equals 8 plus 8 equals 16 plus 16 equals 32 plus 32 equals 64 plus 64 equals 128 plus 128 equals 256 plus 256 equals 512 plus 512 equals 1024 plus 1024 equals? 2025. Which addition sentence is a double minus one fact - 1 plus 1 equals 2 1 plus 2 equals 3 2 plus 3 equals 5 OR 5 plus 4 equals 9?
plus _________ plus _________ equals _________.a.
Role="math" height="22" width="140" alt="12 x plus 8 equals 4 open parentheses... plus... close parentheses">2x2-5x=x...-...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="149" alt="2 x squared minus 5 x equals x open parentheses... negative... close parentheses">6x2+8xy+4x=2x...+...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="235" alt="6 x squared plus 8 x y plus 4 x equals 2 x open parentheses... plus... plus... close parentheses">If the terms involve the same variable(s) to different powers then the highest common factor will include the variable(s) with the smallest power4x5+5x4=x4...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="163" alt="4 x to the power of 5 plus 5 x to the power of 4 equals x to the power of 4 open parentheses... plus... close parentheses">6x4y7-8x9y5=2x4y5...-...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="223" alt="6 x to the power of 4 y to the power of 7 minus 8 x to the power of 9 y to the power of 5 equals 2 x to the power of 4 y to the power of 5 open parentheses... negative... close parentheses">The highest common factor could also contain bracketsx+12+5x+1=x+1...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="254" alt="open parentheses x plus 1 close parentheses squared plus 5 open parentheses x plus 1 close parentheses equals open parentheses x plus 1 close parentheses open parentheses... plus... close parentheses">x+1x+2x+3+x+1x+2x+4=x+1x+2...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="478" alt="open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses open parentheses x plus 3 close parentheses plus open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses open parentheses x plus 4 close parentheses equals open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses open parentheses... plus... close parentheses">Then find what you need to multiply the highest common factor by to get each termYou might need to use the index law: xa×xb=xa+b{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="107" alt="x to the power of a cross times x to the power of b equals x to the power of a plus b end exponent">Worked Example(a) Expand and simplify x+4x4-5x3+4x2-7x{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="200" alt="open parentheses x plus 4 close parentheses open parentheses x to the power of 4 minus 5 x cubed plus 4 x squared minus 7 x close parentheses">.The second bracket has more than two terms so turn the expression into single bracket expansionsx+4x4-5x3+4x2-7x=xx4-5x3+4x2-7x+4x4-5x3+4x2-7x=x5-5x4+4x3-7x+4x4-20x3+16x2-28x{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="50" width="555" alt="table row cell open parentheses x plus 4 close parentheses open parentheses x to the power of 4 Basic Expanding & FactorisingHow do I expand brackets?Expanding brackets means multiplying all the terms inside a bracket by the term outside of the bracketFor GCSE Mathematics you will have learnt how to expand a single bracketMultiply each term inside the bracket by the term outside the bracket2x3x-4y+5=2x×3x-2x×4y+2x×5=6x2-8xy+10x{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="49" width="319" alt="table row cell 2 x open parentheses 3 x minus 4 y plus 5 close parentheses end cell equals cell 2 x cross times 3 x minus 2 x cross times 4 y plus 2 x cross times 5 end cell row blank equals cell 6 x squared minus 8 x y plus 10 x end cell end table">You will also have learnt how to expand double bracketsYou can turn this into two single brackets by multiplying each term inside one bracket by the other bracketFor Level 2 Further Mathematics you might get more than two terms in a bracketTherefore using a grid or turning the expression into single brackets will be more helpful than using FOIL2x+53x-4y+5=2x3x-4y+5+53x-4y+5=6x2-8yx+10x+15x-20y+25=6x2+-8xy+25x-20y+25{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="76" width="409" alt="table row cell open parentheses 2 x plus 5 close parentheses open parentheses 3 x minus 4 y plus 5 close parentheses end cell equals cell 2 x open parentheses 3 x minus 4 y plus 5 close parentheses plus 5 open parentheses 3 x minus 4 y plus 5 close parentheses end cell row blank equals cell 6 x squared minus 8 y x plus 10 x plus 15 x minus 20 y plus 25 end cell row blank equals cell 6 x squared plus negative 8 x y plus 25 x minus 20 y plus 25 end cell end table">A bracket that is raised to the power of 2 can also be written as a double bracketx+y+z2=x+y+zx+y+z{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="250" alt="open parentheses x plus y plus z close parentheses squared equals open parentheses x plus y plus z close parentheses open parentheses x plus y plus z close parentheses">Write as a double bracket and then expandDo not just square each term inside the bracketBe very careful when working with negativesRemember to simplify expressions where possibleHow do I factorise out a term from an expression?Factorising is the opposite of expandingFirstly find the highest common factor of each term in the expression and put this outside a bracketThe highest common factor could be a single number or a variable or both 12x+8=4...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}"[FREE] __________ plus __________ plus __________ equals
Last character Divide (/) for division Multiply (*) for multiplication Minus (-) for subtraction Plus (+) for addition Plus/Minus (+/-) (F3) Decimal point (.) Square (x²) Fraction (⅟x) Parentheses for controlling calculation order How to calculate percentages The Percent (F1) key is invaluable for calculating discounts and taxes on items. For instance, if you're shopping and want to determine the tax on a $20 item with a 12% tax rate, enter "12%20" to find that the tax amounts to $2.40. To calculate the total cost, simply use the addition key: "20+12%" yields $22.40. For discounts, like a 20% store-wide reduction, key in "20-20%" to find the reduced price, then add the tax if applicable. For example, "20-20%+12%" results in a final cost of $17.92. How to Calculate the Square of a Number The Square (x²) key multiplies a number by itself. For instance, entering "9²" equals 81, as 9 multiplied by 9 equals 81. How to Calculate the Square Root of a Number The Square Root (F2) key calculates the square root of a number, which, when multiplied by itself, yields the original number. For example, "9√" equals 3, or "3+9√" equals 9. How the Fraction Key Works The Fraction (⅟x) key, also known as the reciprocal key, generates a fraction with "1 over x." For instance, entering "⅟4" results in 0.25, as 1 divided by 4 equals 0.25. How to Use the Plus/Minus (+/-) Key The Plus Minus (+/-) key converts a value from positive to negative or vice. 1 plus 1 equals 2 plus 2 equals 4 plus 4 equals 8 plus 8 equals 16 plus 16 equals 32 plus 32 equals 64 plus 64 equals 128 plus 128 equals 256 plus 256 equals 512 plus 512 equals 1024 plus 1024 equals? 2025. Which addition sentence is a double minus one fact - 1 plus 1 equals 2 1 plus 2 equals 3 2 plus 3 equals 5 OR 5 plus 4 equals 9?Java plus equals or equals plus operator? - Stack Overflow
Equals cell open parentheses x plus 1 close parentheses open parentheses 2 x plus 3 plus x minus 2 close parentheses end cell row blank equals cell open parentheses x plus 1 close parentheses open parentheses 3 x plus 1 close parentheses end cell end table" data-type="working">The whole expression is now fully simplified (but it's always worth checking!)(x+1)(3x+1){"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="117" alt="" data-type="finalAnswer">Expanding Triple BracketsHow do I expand three brackets?Multiply out any two brackets using a standard method and simplify this answer (collect any like terms)Replace the two brackets above with one long bracket containing the expanded resultExpand this long bracket with the third (unused) bracketThis step often looks like (x + a)(x2 + bx + c)Every term in the first bracket must be multiplied with every term in the second bracketThis leads to six terms A grid can often help to keep track of all six terms, for example (x + 2)(x2 + 3x + 1)add all the terms inside the grid (diagonals show like terms) to get x3 + 2x2 + 3x2 + 6x + x + 2collect like terms to get the final answer of x3 + 5x2 + 7x + 2Simplify the final answer by collecting like terms (if there are any)It helps to put negative terms in brackets when multiplyingWorked ExampleExpand 2x-3x+43x-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="163" alt="open parentheses 2 x minus 3 close parentheses open parentheses x plus 4 close parentheses open parentheses 3 x minus 1 close parentheses">.Start by expanding the first two sets of brackets and simplify by collecting 'like' terms2x-3x+4=2x×x+2x×4+-3×x+-3×4=2x2+8x-3x-12=2x2+5x-12{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="102" width="281" alt="table row blank blank cell open parentheses 2 x minus 3 close parentheses open parentheses x plus 4 close parentheses end cell row blank equals cell 2 x cross times x plus 2 x cross times 4 plus open parentheses negative 3 close parentheses cross times x plus open parentheses negative 3 close parentheses cross times 4 end cell row blank equals cell 2 x squared plus 8 x minus 3 x minus 12 end cell row blank equals cell 2 x squared plus 5 x minus 12 end cell end table" data-type="working">Rewrite the original expression with the first two brackets expanded2x2+5x-123x-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="167" alt="open parentheses 2 x squared plus 5 x minus 12 close parentheses open parentheses 3 x minus 1 close parentheses" data-type="working">Multiply all of the terms in the Get it to where you wanted to get it. That’s where the sunk cost investment issues. So the gamblers paradox or fallacy or whatever you want to call it, tend to come in. It’s like we put so much into that, we can’t change it for sure. So it’s a huge mistake when you buy a company. One thing you should never do is consolidate the C R m, let the C R M stay with that company, figure out cross-sell through a friendly relationship between now two companies that happen [00:32:30] to be together and by the way, be prepared to pay compensation to multiple salespeople. Or before you had one, that’s the tax you’re going to get ready to pay it. Corey Frank (00:32:41):One plus one equals one or one plus one equals three, or one plus one equals 11, right? Those are exactly Chris Beall (00:32:46):Really Corey Frank (00:32:47):The alternatives when you do that. Yeah, that’s fascinating. Podcast: Play in new window | Download[FREE] _____ plus _____ plus _____ equals _____. a. Total
Root of a squared plus b squared end root">To find another side use a=c2-b2 or b=c2-a2{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="27" width="213" alt="a equals square root of c squared minus b squared space end root o r space b equals square root of c squared minus a squared end root"> SOHCAHTOA formulassin A=ac{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="72" alt="sin space A equals a over c"> cos A=bc{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="76" alt="cos space A equals b over c"> tan A=ab{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="74" alt="tan space A equals a over b">These only work for a right-angled triangleYou may need to relabel the sides and angles of the triangle to use these versions of the formulasTo find an angle, use sin-1, cos-1 or tan-1 on your calculatorYou may be used to these versions of the formulas instead:sin θ=OH{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="70" alt="sin space straight theta equals O over H"> cos θ=AH{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="73" alt="cos space straight theta equals A over H"> tan θ=OA{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="71" alt="tan space straight theta equals O over A">θ is the angle, O is the opposite side, A is the adjacent side, and H is the hypotenuseYou can still use those versions of the formulas if you are more confident with themBut they are not on the formulae sheet, so you’ll need to remember themNon-right-angled trigonometry formulas (Higher tier only)sine rule: asin A=bsin B=csin C{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="143" alt="fraction numerator a over denominator sin space A end fraction equals fraction numerator b over denominator sin space B end fraction equals fraction numerator c over denominator sin space C end fraction">cosine rule: a2=b2+c2-2bc cos A{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="23" width="174" alt="a squared equals b squared plus c squared minus 2 b c space cos space A">Area of a triangle = 12ab sin C{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="76" alt="1 half a b space sin space C">These formulas work with any triangle (right-angled or not right-angled)You may need to relabel the sides and angles of the triangle to use these versions of the formulasTo find an angle, use sin-1 or cos-1 on your calculatorRemember the sine rule formulas are also valid if you “flip them over”: sin Aa=sin Bb=sin Cc{"fontFamily":"Times New Roman","fontSize":"18","autoformat":true,"toolbar":""}" role="math" height="35" width="143" alt="fraction numerator sin space A over denominator a end fraction equals fraction numerator sin space B over denominator b end fraction equals fraction numerator sin space C over denominator c end fraction">Exam Board Maths Formulae SheetsAQA GCSE Maths formulae sheetsThe official AQA Maths GCSE formulae sheets for the 2024 exams may be found here:Maths GCSE AQA: Foundation Tier Formulae SheetMaths GCSE AQA: Higher Tier Formulae SheetOCR GCSE Maths formulae sheetsThe official OCR MathsEqual Plus Caffeine Vitamin B12 - Equal
Need to add that. Key in +12%. So now, we're paying $17.92. --> How to calculate the square of a number Square x² - the square key takes whatever value I key in, and squares it. That is, it will multiply it by itself. If I key in 9, press the square key, and then equals, we'll get 81. That is, 9 multiplied by 9 equals 81. Example, 9² = 81 How to calculate the square root of a number Square Root (F2) - Square roots are the opposite of squares. Squares are numbers getting multiplied by themselves. The square root of a number is the value, which when multiplied by itself, gives the original number. Squares and square roots are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2. Example, 9√ = 3, or 3+9√ = 9 How the fraction (or reciprocal) key works Fraction ⅟x - the fraction key, or 1 over x key. (also called the reciprocal key) If you key in 4, and then press the fraction key you will get a fraction with 1 over 4. 1 divided by 4, equals 0.25. Example, ⅟4 = 0.25 How to use the +/- (plus/minus) key The plus minus +/- key takes the value and converts it from a positive value to a negative value, or a negative to a positive value. How to use parentheses in calculations Parentheses to control order of calculations. Something a little more advanced,. 1 plus 1 equals 2 plus 2 equals 4 plus 4 equals 8 plus 8 equals 16 plus 16 equals 32 plus 32 equals 64 plus 64 equals 128 plus 128 equals 256 plus 256 equals 512 plus 512 equals 1024 plus 1024 equals? 2025. Which addition sentence is a double minus one fact - 1 plus 1 equals 2 1 plus 2 equals 3 2 plus 3 equals 5 OR 5 plus 4 equals 9?R: = (plus equals) and (plus plus) equivalent from
Minus 5 x cubed plus 4 x squared minus 7 x close parentheses end cell equals cell x open parentheses x to the power of 4 minus 5 x cubed plus 4 x squared minus 7 x close parentheses plus 4 open parentheses x to the power of 4 minus 5 x cubed plus 4 x squared minus 7 x close parentheses end cell row blank equals cell x to the power of 5 minus 5 x to the power of 4 plus 4 x cubed minus 7 x plus 4 x to the power of 4 minus 20 x cubed plus 16 x squared minus 28 x end cell end table" data-type="working">Collect like termsx5-x4-16x3+9x2-28x{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="206" alt="bold italic x to the power of bold 5 bold minus bold italic x to the power of bold 4 bold minus bold 16 bold italic x to the power of bold 3 bold plus bold 9 bold italic x to the power of bold 2 bold minus bold 28 bold italic x" data-type="finalAnswer">(b) Factorise fully x+12x+3+x+1x-2{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="219" alt="open parentheses x plus 1 close parentheses open parentheses 2 x plus 3 close parentheses plus open parentheses x plus 1 close parentheses open parentheses x minus 2 close parentheses">.There are two terms in this expression; x+12x+3{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="106" alt="open parentheses x plus 1 close parentheses open parentheses 2 x plus 3 close parentheses" data-type="commentary"> and x+1x-2{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="97" alt="open parentheses x plus 1 close parentheses open parentheses x minus 2 close parentheses" data-type="commentary">Both contain the common factor x+1{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="49" alt="open parentheses x plus 1 close parentheses" data-type="commentary">As a bracket is a factor, using "big square brackets" can help keep track of what's leftx+12x+3+x+1x-2=x+12x+3+x-2{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="34" width="448" alt="open parentheses x plus 1 close parentheses open parentheses 2 x plus 3 close parentheses plus open parentheses x plus 1 close parentheses open parentheses x minus 2 close parentheses equals open parentheses x plus 1 close parentheses open square brackets table row cell table row cell open parentheses 2 x plus 3 close parentheses end cell plus end table end cell cell open parentheses x minus 2 close parentheses end cell end table close square brackets" data-type="working">Simplify the "big square brackets"=x+12x+3+x-2=x+13x+1{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="48" width="176" alt="table attributes columnalign right center left columnspacing 0px end attributes row blankComments
Role="math" height="22" width="140" alt="12 x plus 8 equals 4 open parentheses... plus... close parentheses">2x2-5x=x...-...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="149" alt="2 x squared minus 5 x equals x open parentheses... negative... close parentheses">6x2+8xy+4x=2x...+...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="235" alt="6 x squared plus 8 x y plus 4 x equals 2 x open parentheses... plus... plus... close parentheses">If the terms involve the same variable(s) to different powers then the highest common factor will include the variable(s) with the smallest power4x5+5x4=x4...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="163" alt="4 x to the power of 5 plus 5 x to the power of 4 equals x to the power of 4 open parentheses... plus... close parentheses">6x4y7-8x9y5=2x4y5...-...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="223" alt="6 x to the power of 4 y to the power of 7 minus 8 x to the power of 9 y to the power of 5 equals 2 x to the power of 4 y to the power of 5 open parentheses... negative... close parentheses">The highest common factor could also contain bracketsx+12+5x+1=x+1...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="254" alt="open parentheses x plus 1 close parentheses squared plus 5 open parentheses x plus 1 close parentheses equals open parentheses x plus 1 close parentheses open parentheses... plus... close parentheses">x+1x+2x+3+x+1x+2x+4=x+1x+2...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="478" alt="open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses open parentheses x plus 3 close parentheses plus open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses open parentheses x plus 4 close parentheses equals open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses open parentheses... plus... close parentheses">Then find what you need to multiply the highest common factor by to get each termYou might need to use the index law: xa×xb=xa+b{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="107" alt="x to the power of a cross times x to the power of b equals x to the power of a plus b end exponent">Worked Example(a) Expand and simplify x+4x4-5x3+4x2-7x{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="200" alt="open parentheses x plus 4 close parentheses open parentheses x to the power of 4 minus 5 x cubed plus 4 x squared minus 7 x close parentheses">.The second bracket has more than two terms so turn the expression into single bracket expansionsx+4x4-5x3+4x2-7x=xx4-5x3+4x2-7x+4x4-5x3+4x2-7x=x5-5x4+4x3-7x+4x4-20x3+16x2-28x{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="50" width="555" alt="table row cell open parentheses x plus 4 close parentheses open parentheses x to the power of 4
2025-03-25Basic Expanding & FactorisingHow do I expand brackets?Expanding brackets means multiplying all the terms inside a bracket by the term outside of the bracketFor GCSE Mathematics you will have learnt how to expand a single bracketMultiply each term inside the bracket by the term outside the bracket2x3x-4y+5=2x×3x-2x×4y+2x×5=6x2-8xy+10x{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="49" width="319" alt="table row cell 2 x open parentheses 3 x minus 4 y plus 5 close parentheses end cell equals cell 2 x cross times 3 x minus 2 x cross times 4 y plus 2 x cross times 5 end cell row blank equals cell 6 x squared minus 8 x y plus 10 x end cell end table">You will also have learnt how to expand double bracketsYou can turn this into two single brackets by multiplying each term inside one bracket by the other bracketFor Level 2 Further Mathematics you might get more than two terms in a bracketTherefore using a grid or turning the expression into single brackets will be more helpful than using FOIL2x+53x-4y+5=2x3x-4y+5+53x-4y+5=6x2-8yx+10x+15x-20y+25=6x2+-8xy+25x-20y+25{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="76" width="409" alt="table row cell open parentheses 2 x plus 5 close parentheses open parentheses 3 x minus 4 y plus 5 close parentheses end cell equals cell 2 x open parentheses 3 x minus 4 y plus 5 close parentheses plus 5 open parentheses 3 x minus 4 y plus 5 close parentheses end cell row blank equals cell 6 x squared minus 8 y x plus 10 x plus 15 x minus 20 y plus 25 end cell row blank equals cell 6 x squared plus negative 8 x y plus 25 x minus 20 y plus 25 end cell end table">A bracket that is raised to the power of 2 can also be written as a double bracketx+y+z2=x+y+zx+y+z{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="250" alt="open parentheses x plus y plus z close parentheses squared equals open parentheses x plus y plus z close parentheses open parentheses x plus y plus z close parentheses">Write as a double bracket and then expandDo not just square each term inside the bracketBe very careful when working with negativesRemember to simplify expressions where possibleHow do I factorise out a term from an expression?Factorising is the opposite of expandingFirstly find the highest common factor of each term in the expression and put this outside a bracketThe highest common factor could be a single number or a variable or both 12x+8=4...+...{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}"
2025-03-25Last character Divide (/) for division Multiply (*) for multiplication Minus (-) for subtraction Plus (+) for addition Plus/Minus (+/-) (F3) Decimal point (.) Square (x²) Fraction (⅟x) Parentheses for controlling calculation order How to calculate percentages The Percent (F1) key is invaluable for calculating discounts and taxes on items. For instance, if you're shopping and want to determine the tax on a $20 item with a 12% tax rate, enter "12%20" to find that the tax amounts to $2.40. To calculate the total cost, simply use the addition key: "20+12%" yields $22.40. For discounts, like a 20% store-wide reduction, key in "20-20%" to find the reduced price, then add the tax if applicable. For example, "20-20%+12%" results in a final cost of $17.92. How to Calculate the Square of a Number The Square (x²) key multiplies a number by itself. For instance, entering "9²" equals 81, as 9 multiplied by 9 equals 81. How to Calculate the Square Root of a Number The Square Root (F2) key calculates the square root of a number, which, when multiplied by itself, yields the original number. For example, "9√" equals 3, or "3+9√" equals 9. How the Fraction Key Works The Fraction (⅟x) key, also known as the reciprocal key, generates a fraction with "1 over x." For instance, entering "⅟4" results in 0.25, as 1 divided by 4 equals 0.25. How to Use the Plus/Minus (+/-) Key The Plus Minus (+/-) key converts a value from positive to negative or vice
2025-04-11Equals cell open parentheses x plus 1 close parentheses open parentheses 2 x plus 3 plus x minus 2 close parentheses end cell row blank equals cell open parentheses x plus 1 close parentheses open parentheses 3 x plus 1 close parentheses end cell end table" data-type="working">The whole expression is now fully simplified (but it's always worth checking!)(x+1)(3x+1){"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="117" alt="" data-type="finalAnswer">Expanding Triple BracketsHow do I expand three brackets?Multiply out any two brackets using a standard method and simplify this answer (collect any like terms)Replace the two brackets above with one long bracket containing the expanded resultExpand this long bracket with the third (unused) bracketThis step often looks like (x + a)(x2 + bx + c)Every term in the first bracket must be multiplied with every term in the second bracketThis leads to six terms A grid can often help to keep track of all six terms, for example (x + 2)(x2 + 3x + 1)add all the terms inside the grid (diagonals show like terms) to get x3 + 2x2 + 3x2 + 6x + x + 2collect like terms to get the final answer of x3 + 5x2 + 7x + 2Simplify the final answer by collecting like terms (if there are any)It helps to put negative terms in brackets when multiplyingWorked ExampleExpand 2x-3x+43x-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="22" width="163" alt="open parentheses 2 x minus 3 close parentheses open parentheses x plus 4 close parentheses open parentheses 3 x minus 1 close parentheses">.Start by expanding the first two sets of brackets and simplify by collecting 'like' terms2x-3x+4=2x×x+2x×4+-3×x+-3×4=2x2+8x-3x-12=2x2+5x-12{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="102" width="281" alt="table row blank blank cell open parentheses 2 x minus 3 close parentheses open parentheses x plus 4 close parentheses end cell row blank equals cell 2 x cross times x plus 2 x cross times 4 plus open parentheses negative 3 close parentheses cross times x plus open parentheses negative 3 close parentheses cross times 4 end cell row blank equals cell 2 x squared plus 8 x minus 3 x minus 12 end cell row blank equals cell 2 x squared plus 5 x minus 12 end cell end table" data-type="working">Rewrite the original expression with the first two brackets expanded2x2+5x-123x-1{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}" role="math" height="23" width="167" alt="open parentheses 2 x squared plus 5 x minus 12 close parentheses open parentheses 3 x minus 1 close parentheses" data-type="working">Multiply all of the terms in the
2025-04-02