Factorize:$ x\left(x^{3}-y^{3}\right)+3 x y(x-y) $

Academic Mathematics NCERT Class 9

Given :

\( x\left(x^{3}-y^{3}\right)+3 x y(x-y) \)

To do :

We have to factorize the given expression.

Solution :

$x(x^3 – y^3) + 3xy(x – y) = x(x – y) (x^2 + xy + y^2) + 3xy(x – y)$

$= x(x – y) (x^2 + xy + y^2 + 3y)$

Hence, $x(x^3 – y^3) + 3xy(x – y) = x(x – y) (x^2 + xy + y^2 + 3y)$.

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Updated on: 10-Oct-2022

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