Factorise the following by taking out common factors.$2x^3(a+b) - 2y^2(a+b)$

Given:

$2x^3(a+b)-2y^3(a+b)$

To do:

We have to factorise the given expression.

Solution:

$2x^3(a+b)-2y^3(a+b)=(a+b)[2x^3-2y^3]$                              (Taking $(a+b)$ common)

$=(a+b)2(x^3-y^3)$                     (Taking $2$ common)

$=2(a+b)(x^3-y^3)$

Therefore, $2x^3(a+b)-2y^3(a+b)=2(a+b)(x^3-y^3)$.

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Updated on: 10-Oct-2022

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