Factorize X (X3 - Y3 ) + 3xy ( X - Y ) - Mathematics

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Factorize x (x3 - y3 ) + 3xy ( x - y )

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Solution

Elaborating x3  - y3 using identity  a3  - b3  = (a - b)(a2  + ab + b2 )

= x ( x - y)(x2  + xy + y2 ) + 3xy (x - y )

Taking common x( x - y ) in both the terms

= x ( x - y){x2 + xy + y2 + 3y}

∴ x (x3  - y3 ) + 3xy ( x - y) = x ( x - y )(x2  + xy + y2  + 3y)

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 3 | Page 9

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