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# The Factors Of X3 −X2y − Xy2 + Y3 Are - Mathematics

MCQ

The factors of x3 −x2y − xy2 + y3 are

#### Options

• (x + y) (x2 − xy + y2)

• (x + y) (x2 + xy + y2)

• (x + y)2 (x − y)

• (x − y)2 (x + y)

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#### Solution

The given expression to be factorized is

x3 −x2y − xy2 + y3

Take common  x^2 from the first two terms and -y^2 from the last two terms. That is

x3 −x2y − xy2 + y3  = x^2 (x-y) - y^2 (x-y)

Finally, take common (x-y)from the two terms. That is

x3 −x2y − xy2 + y3  = (x-y)(x^2 - y^2)

 = (x-y){(x)^2 - (y)^2 }

 = (x- y)(x+y)(x-y)

 = (x-y)^2 (x+y)

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Q 1 | Page 25
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