If xy=5, then what is the value of x3y315xy We need to have x^3 and y^3 in the expression, so cube both sides Expand the left side Now we need to separate x^3 y^3 We need to turn 3x^2y 3xy^2 into 15xy Factor the GCF, 3xy, out of 3x^2y 3xy^2 We know that x y = 5, so substitute x y with 5RD Sharma Solutions for Class 9 Maths Chapter 5 Factorization of Algebraic Expressions Question 6 Factorize x3 – 2x2y 3xy2 – 6y3 Solution x3 – 2x2y 3xy2 – 6y3 = x2(x – 2y) 3y2(x – 2y) = (x – 2y) (x2 3y2) Question 7 Factorize 6ab – b2 12ac – 2bc SolutionWelcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get
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SolutionShow Solution The given expression to be factorized is x3 − 1 y3 3xy This can be written in the form x 3 − 1 y 3 3xy = ( x) 2 ( 1) 3 ( y) 3 3 ( x) ( 1) ( y) Recall the formula a 3 b 3 c 3 3 a b c = ( a b c) ( a 2 b 2 c 2 a b b c c a)Factor out the Greatest Common Factor (GCF), '4dxy' 4dxy(y 2 1x 2) = 0 Factor a difference between two squares 4dxy((y x)(y 1x)) = 0 Ignore the factor 4 Subproblem 1 Set the factor 'dxy' equal to zero and attempt to solve Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the rightExamine the function {eq}f(x,y) = x^3 y^3 3xy {/eq} for relative extrema and saddle points Watch this video lesson to learn how to identify the cubic equations for which you can factor
Click here👆to get an answer to your question ️ factorise x^3 3x^2y 3xy^2 y^3 8Which expressions are equivalent to 3x3(xy) A 6x3y B 3(xxy) C3xy Disclaimer The questions posted on the site are solely user generated, Doubtnut has no ownership or control over the nature and content of those questionsFactorize x (x 3 y 3) 3xy ( x y ) Advertisement Remove all ads Solution Show Solution Elaborating x 3 y 3 using identity a 3 b 3 = (a b)(a 2 ab b 2) = x ( x y)(x 2 xy y 2) 3xy (x y ) Taking common x( x y ) in both the terms = x ( x y){x 2 xy y 2 3y}
If x=4 and y=1,find the value of 3xy math evaluate 5x^23xyy^2 when x=3 and y=3 mathematics Differentiate lmplicitly x^2y^23xy4xy^3=4 Algebra Factor x^2 3xy 18y^2 I am not too sure if this is right, but any help is appreciated! x(x^3 – y^3) 3xy(x – y) = x(x – y) (x^2 xy y^2) 3xy(x – y) Taking x(x – y) as a common factor;NCERT Solutions Class 9 Maths Chapter 2 Exercise 25 Question 11 Summary The factorized form of the expression 27x³ y³ z³ 9xyz is (3x y z)(9x² y² z² 3xy yz 3zx)
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Question The equation x3 3xy y3 = 1 is solved in integers Find the possible values of xy Found 3 solutions by Alan3354, Edwin McCravy, richard1234`27^3 y^3 z^3 9xy\z` `= (3x)^3 y^3 z^3 3xx3xy\z` Using the identity `x^3 y^3 z^3 3xy\z` `= (x y z)(x^2 y^2 z^2 xy – yz – xz)` We get `(3x y z)(3x)^2 y^2 z^2 3xy – yz – 3xz` `= (3x y z)(9x^2 y^2 z^3 3xy – yz – 3xz)` (x 3 y 3) = (x y)(x 2 xy y 2) We can factor the whole thing out as x(x y)(x 2 xy y 2) 3xy(x y) The common factor of the two terms is x(x y)
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Factorise x square minus y square 3 x minus y 2 Created by suddha123dey Math21 Factorizar x 3 y 3 (3xy7)(xy)6, señalando la suma de los términos independientes de los factores lineales a) 0 b) 1 c) 2 d) 3 e) 4 22 Al factorizar P(a;Question factor x^3y^3 into irreducibles in Q(x,y) and prove that each of the factors is irreducible Answer by richard1234(7193) (Show Source) You can put this solution on YOUR website!
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0 Follow 0 A K Daya Sir, added an answer, on 25/9/13 A K Daya Sir answered this x 3 y 3 = (x y) (x 2 xy y 2 ) this formula can be derived from (x y) 3 = x 3 y 3 3xy (x y) x 3 y 3 = (x y) 3 3xy (x y) x 3 y 3 = (x y) (x y) 2 3xy = (x y) x 2 y 2 2xy 3xy = (x y) (x 2 xy y 2 ) Was this answerX 3 3 x y y 3 – 1 x y − 1 = x 2 x − x y y 2 y − 1 So a factorization is x 3 3 x y y 3 – 1 = (x y − 1) (x 2 x − x y y 2 y − 1)= x(x – y) (x^2 xy y^2 3y) = x(x – y) (x^2 xy y^2 3y)
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Set the factor ' (x y)' equal to zero and attempt to solve Simplifying x y = 0 Solving x y = 0 Move all terms containing d to the left, all other terms to the right Add '1x' to each side of the equation x 1x y = 0 1x Combine like terms x 1x = 0 0 y = 0 1x y = 0 1x Remove the zero y = 1x Add '1y' to each side of Which of the following is a factor of (x y) 3 – (x 3 y 3 )?(((x 3) (3x 2 • y)) 3xy 2) y 3 Step 3 Checking for a perfect cube 31 Factoring x 3 3x 2 y3xy 2 y 3 x 3 3x 2 y3xy 2 y 3 is a perfect cube which means it is the cube of another polynomial In our case, the cubic root of x 3 3x 2 y3xy 2 y 3 is xy Factorization is (xy) 3 Final result (x y) 3
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Algebra Factor (xy)^3 (xy)^3 (x y)3 − (x − y)3 ( x y) 3 ( x y) 3 Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 abb2) a 3 b 3 = ( a b) ( a 2 a b b 2) where a = xy a = x y and b = x− y b = x ySolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more This is a semiimportant identity to know (x^3y^3)=(xy)(x^2xyy^2) Although it doesn't apply directly to this question, it's also important to know that (x^3y^3)=(xy)(x^2xyy^2) This gives us the rule (x^3y^3)=(xy)(x^2∓xyy^2)
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Factoriser Factoriser Enter a quadratic equation to factorise For indices use (^) Factorise SubmitQuestion 11 – Factorise `27x^3 y^3 z^3 9xy\z` Answer Given; 10 A polynomial from Qx, y, z is a polynomial from Qx, yz, so it can be viewed as a polynomial in z with coefficients from the integral domain Qx, y p(z) = z3 − 3xy ⋅ z x3 y3 So we can try our methods to factor a polynomial of degree 3 over an integral domain If it can be factored then there is a factor of degree 1, we call
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In a way we can say that factorise is the reverse of expand and that's exactly what we are doing in this videoThis video shows how to factorise using the id I think this is 2/3xy choices were 2/xy 3xy 2xy 2/3xy Simplify 12xyz^2/8x^2z Math factorize the following using formula #1 (xy)^3 = x^33x^2y3xy^2y^2 formula #2 (xy)^3 = x^33x^2y3xy^2y^2 Problem #1 8a^360a^2150a125 Problem #2 27x^327x^2y9xy^2y^3 please tell me how to solve them Math(Please checkSolution Question 16 Give possible expression for the length and breadth of the rectangle having 35y 2 13y – 12 as its area Solution Area of a rectangle = 35y 2 13y – 12 = 35y 2 28y 15y 12 (i) If length = 5y 4, then breadth = 7y – 3 (ii) and if length = 7y3, then length =
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Hey JW You shouldn't have a y' in your answer Undefined control sequence \L Differentiate, don't forget the product rule Undefined control sequence \L Solve for y' Undefined control sequence \L Now, sub in your x=4/3 and y=2/3 and you get a slop e of 5/4 at that point Now that you have the slope, use y=mxb and find your line equation(x – 6y) (x 3y) is this correct?Differentiate with respect to x 3x^2 3y^2dy/dx=3(xdy/dx y) 3x^23y^2dy/dx =3xdy/dx3y 3y^2dy/dx3xdy/dx=3y3x^2 dy/dx(3y^2–3x)=3y3x^2 dy/dx=(3y3x^2)/(3y^2–3x
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Factorise 3 X Y 2 5 X Y 2 Brainly In Factorise 3(x y)^25(x y) 2 class 9 Factorise 3(x y)^25(x y) 2 class 9Factorise The Following I 9a 2 B 2 Ii 81x 3 X Linear Equations Questions And Answers Topperlearning Review Problems For Basic Algebra I Students kash EduTech Pvt Ltd What are you looking for?(x•((x 3)(y 3)))3xy•(xy) Step 2 Trying to factor as a Difference of Cubes 21 Factoring x 3y 3 Theory A difference of two perfect cubes, a 3 b 3 can be factored into (ab) • (a 2 ab b 2) Proof (ab)•(a 2 abb 2) = a 3 a 2 b ab 2ba 2b 2 ab 3 = a 3 (a 2 bba 2)(ab 2b 2 a)b 3 = a 3 0 0b 3 = a 3b 3 Check x 3 is the cube of x 1
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Xy is obviously irreducible For sake of completeness, we show that x^2 xy y^2 is irreducible Suppose that, on the contrary, it is reducible Factorize x(x 3y 3) 3xy (xy) factorisation of algebraic expressions;Typo/misspeak around 4 minutes 369=27Multivariable Calculus Find all local maxima/minima and saddle points for the function f(x,y) = x^3 3xy y^3 W
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How do you factor completely x^3 y^3 z^3 3xyz? What are the factors of ( xy)3(x3y3) pp pp Math Secondary School answered What are the factors of ( xy)3(x3y3) 2 See answers Hence, one of the factor of given polynomial is 3xy New questions in Math if the compound ratio of 67and p12is 47 find the value of pIf xy=5 and xy=6 then find x^3y^3 xy=5 and xy=6y=6x If 52x1 25x1 = 2500 then the value of x = Consider If 2x5 is a factor of 2x^25 find the value of x if 2
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B) = a(a 2 ab1)b(b 2 ab1), uno de sus factores primos es a) ab b) ab1 c) ab1 d) ab1 e) ab1 23Factor x^3y^3 x3 − y3 x 3 y 3 Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 abb2) a 3 b 3 = ( a b) ( a 2 a b b 2) where a = x a = x and b = y b = y (x−y)(x2 xyy2) ( x y) ( x 2 x y y 2)Share It On Facebook Twitter Email 1 Answer 0 votes answered by Faiz Ahmad (617k points) selected by vikash gupta Best answer x(x 3y 3) 3xy (xy) ← Prev
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(x y) 3 − (x 3 y 3) (x 3 y 3 3 x y (x y) − x 3 − y 3 3 x y (x y) So, above term is factor of 3xy Answer (D) 3xySolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreShow, by left side, that $$\frac{x^3y^3}{xy} = x^2xyy^2,$$ or $$\frac{x^3y^3}{x^2xyy^2} = xy$$ You may read about "Long Division of Polynomials" See also LINK for knowing the process
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