OBJECTIVES Find the product of two binomials Use the distributive property to multiply any two polynomials In the previous section you learned that the product A (2x y) expands to A (2x) A (y) Now consider the product (3x z) (2x y) Since (3x z) is in parentheses, we can treat it as a single factor and expand (3x z) (2x y) inFirst week only $499!Expand and simplify (x y)^2 Equation It can be defined as the statement consisting of two expressions of the left side and the right side with the equality sign in between
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(x-y)^2 expand and simplify- right half (y −2)(y −3) = y(y) y( − 3) ( − 2)y ( −2)( −3) = y2 − 3y − 2y 6 = y2 − 5y 6 combine these ⇒ (y2 y − 12) (y2 −5y 6) simplify 2y2 − 4y −6 or y2 −2y − 3 if you want to factor out a 2 Answer linkStart your free trial In partnership with You are being redirected to Course Hero I want to submit the same problem to Course Hero
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Expand and simplify (x5)(x2) 1 See answer eshant2129 is waiting for your help Add your answer and earn points = x ^22x 5x 10 =x^23x10 Therefore YOUR ANSWER IS X^2 3X 10 New questions in Math write 66*10^6 in usual form A piece of work can be done by men in 14 days working 12 hours a day Howmany men are needed to completeArrow_forward Question View transcribed image text fullscreen Expand check_circle Expert Answer Show that u(x,y) = e*cos(y) is an harmonic function and find the function v(x,y) Expand and simplify 2(xy)3(x2y) Answers 2 Get ;) Other questions on the subject Mathematics Mathematics, 1730, leslcookie23 During a bike challenge riders have to collect various colored ribbons each 1/2 mile they collect a red ribbon each eighth mile they collect a green ribbon and each quarter mile they collect a blue
Multiply both terms by 2 x 1 Expand a 2(x 3) b 3(p 2) c 4(m n) d 3(5 q) e 2(2 x y 3) f 5(2 c 1) g 4(x ² 2) h 3(n ² 2 n 1) Exercise 9A Remember to multiply both terms inside the bracket by 133 expand D Questions in this chapter are targeted at the grades indicated x^3 3x^2y 3xy^2y^3 (x y)^3 Solution Well you can use many methods to simplify like Using Pascal Triangle which give be 1, 3, 3, 1 as the expansion You can simplify (x y)^3 to either (x y) (x y) (x y) or (x y)^2 (x y) But using those two will result in same answer which will be in this format > 1, 3, 3, 1 Hence rArr (x y)^3 = (x y) (x y) (x y) (x y) (x y) (x Expand and simplify (x – 2)(x 8) Get the answers you need, now!
Expand and simplify a 3(y 2 – 8) – 4(y 2 – 5) b 2 x (x 5) 3 x (x – 7) c 4 p (2 p – 1) – 3 p (5 p – 2) d 3 b (4 b – 3) – b (6 b – 9) 5 Expand 1 2 (2 y – 8) 6 Expand and simplify a 13 – 2(m 7) b 5 p (p 2 6 p) – 9 p (2 p – 3) 7 The diagram shows aExpand the trigonometric expression cos(x y)Simplify the cos function input x y to x or y by applying standard identitiesExpand and simplify the following expression close Start your trial now!
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Expand and simplify a (x y)(x 2y) (2 marks) 8(35 4r9s 1) (3 marks) C d/2d 1pX3dP) (4 marks) 1424 Pulse < 4 Write a simplified expression for the area of each object given below (Recall Area of a Rectangle/Square = length x width) a (2 marks) b (3 marks) 5 Given the expression S, explain in words the steps taken toSimplify (xy)^2 Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive property Apply the distributive property Simplify and combine like terms Tap for more steps Simplify each termThe second term of the sum is equal to Y The second factor of the product is equal to a sum consisting of 2 terms The first term of the sum is equal to X The second term of the sum is equal to negative Y open bracket X plus Y close bracket multiplied by open parenthesis X plus negative Y close parenthesis;
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Y=x^2x6 expanded in the simplest form PREMISES y=(2x)(3x) in the expanded and simplified form CALCULATIONS y=(2x)(3x) in the expanded and simplified form y=(2×3)2x3xx^2 y=6(2x3x)x^2 y=6(x)x^2 y=6xx^2 Flip the right side of the eTo multiply out the product of two brackets multiply each term in the first bracket by the second bracket expand the brackets simplify the resulting expression An alternative method is the grid method Factorising is the reverse process to expanding brackets To factorise the quadratic expression x 2 bx c find two numbers whose product is cAlgebra 105 Expanding brackets and factorising Expand these expressions 1 22(2k 1 4) 2 23(2x 1 6) 3 25(3n 2 1) 4 24(3t 1 5) 5 23(4p 2 1) 6 22(3x 2 7) Expand then simplify these expressions 7 3(y 1 4) 1 2y 1 10 8 2(k 1 6) 1 3k 1 9 9 4(a 1 3) 2 2a 1 6 10 3(t 2 2) 1 4t 2 10 11 3(2y 1 3) 1 2(y 1 5) 12 4(x 1 7) 1 3(x 1 4)
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Using algebra to solve 4(x 3) 3(x 2)Firstly multiply through to get rid of brackets and add up the termsExpand and simplify an expression The calculator allows you to expand and collapse an expression online , to achieve this, the calculator combines the functions collapse and expand For example it is possible to expand and reduce the expression following ( 3 x 1) ( 2 x 4), The calculator will returns the expression in two forms expandedCORRECTION Answer b is incorrect the correct answer is 4a^2 12a9Thanks Aditi JainAlgebraic Identities https//wwwyoutubecom/watch?v=HQWggFJVmKQ&list=PL
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Explain75 mi16m85 m66 m(a) Expand and simplify the binomial expression #(2x)^7# in ascending powers of x (b) Use the expansion up to the fourth term to evaluate #(197)^7# correct to 4 decimal placesExpand and simplify {eq}(4x^{2}y)(2x^5 y^3) {/eq} Simplification Simplification is a process used to simplify a complex expression in a simple or easiest form In this process, we used
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This calculator can be used to expand and simplify any polynomial expressionExpand (xy)^2 (x y)2 ( x y) 2 Rewrite (xy)2 ( x y) 2 as (xy)(xy) ( x y) ( x y) (xy)(xy) ( x y) ( x y) Expand (xy)(x y) ( x y) ( x y) using the FOIL Method Tap for more steps Apply the distributive property x ( x y) y ( x y) x ( x y) y ( x y) Apply the distributive property Expand and simplify (x 6)2 1 See answer tdaebreon is waiting for your help Add your answer and earn points Exvited Exvited New questions in Mathematics Luke has a crate with a volume of 2160 cubic inches The crate is 12 inches long and 18 inches high Luke wants to put wooden boards into the crate
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Expand_and_simplify((3x1)(2x4)) The expression in its expanded form and reduced `414*x6*x^2` be returned The online calculator function to expand and collapse an algebraic expression Syntax expand_and_simplify(expression) , expression is the expression to expand Examples expand_and_simplify(`(34)*2`) returns 14 ; Get an answer for '`(2/x y)^4` Use the Binomial Theorem to expand and simplify the expression' and find homework help for other Math questions at eNotes23vgslenitac 23vgslenitac 7 days ago Math Primary School Expand and simplify (x – 2)(x 8) 2 See answers (10x25 y 2 z 33) x (9 xyz)2 answer the questions 17 Which triangle has a greater area?
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Y=(2x)(3x) in the expanded and simplified form CALCULATIONS y=(2x)(3x) in the expanded and simplified form y=(2×3)2x3xx^2 y=6(2x3x)x^2 y=6(x)x^2 y=6xx^2 Flip the right side of the equation y=x^2x6 y=x^2x6 expanded in the simplest form PROOF If y=x^2x6 expanded and in the simplest form, then the equationsHINT Expand and simplify (A^2B^2)((x\alpha)^2(y\beta)^2)=(AxByC)^2 to the form Dx^2ExyFy^2GxHy\color{red}{2}=0 Then, solve the following system D=a,\quad E=4,\quad F=1 HINT Expand and simplify ( A 2 B 2 ) ( ( x − α ) 2 ( y − β ) 2 ) = ( A x B y C ) 2 to the form D x 2 E x y F y 2 G x H y 2 = 0 ThenExpand and Simplify with Radicals EXPAND AND SIMPLIFY WITH RADICALS Expansion can be done using two ways (i) Using distribution (ii) Using algebraic identities Expand and simplify Problem 1 2√3(4√3) So, the value of x = 2 and y = 1 Problem 13
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Expand (x2 y2) using the Binomial Theorem (x² y²) = (Simplify your answer) Question Expand (x2 y2) using the Binomial Theorem (x² y²) = (Simplify your answer) This question hasn't been solved yet Ask an expert Ask an expert Ask anY=x^2x6 expanded in the simplest form PREMISES y=(2x)(3x) in the expanded and simplified form CALCULATIONS y=(2x)(3x) in the expanded and simplified form y=(2×3)2x3xx^2 y=6(2x3x)x^2 y=6(x)x^2 y=6xx^2 Flip the right side of the equation y=x^2x6 y=x^2x6 expanded in the simplest form PROOF The simplify command finds the simplest form of an equation Simplifyexpr,assum does simplification using assumptions Expandexpr,patt leaves unexpanded any parts of expr that are free of the pattern patt ExpandAllexpr expands out all products and integer powers in ant part of exps ExpandAllexpr,patt avoids expanding parts of expr that do not contain terms matching
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Expand and simplify 5 (x 3) 3 (y 2) To expand the brackets you need to multiply each item inside with the number on the outside The first bracket is expanded as follows 5 x = 5x, 5 3 = 15, therefore 5x 15 There is a minus sign in front of the second bracket, it is important to remember this when expanding the bracket and to remember the rule that when a minus number isFree expand & simplify calculator Expand and simplify equations stepbystep This website uses cookies to ensure you get the best experience expandcalculator Expand 2(x y) 3(x y) en Related Symbolab blog posts Middle School Math Solutions – Equation Calculator2 Expand and simplify with two or more brackets Expand the brackets to give the following expression Eg (x 5)(x − 1) = x 2 5x − x − 5 = x 2 4x − 5 Remember expressions with three terms like x 2 4x − 5 are known as trinomials An expression that contains more than two terms and includes variables and coefficients is called a polynomial
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Expanding brackets To expand a bracket means to multiply each term in the bracket by the expression outside the bracket For example, in the expression \ (3 (mThe Binomial Theorem is a formula that can be used to expand any binomial (xy)n =∑n k=0(n k)xn−kyk =xn(n 1)xn−1y(n 2)xn−2y2( n n−1)xyn−1yn ( x y) n = ∑ k = 0 n ( n k) x n − k y k = x n ( n 1) x n − 1 y ( n 2) x n − 2 y 2 ( n n − 1) x y n − 1 y nExpand and simplify (x2)(x2)(x3) Disclaimer The questions posted on the site are solely user generated, Doubtnut has no ownership or control over the nature and content of those questions
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