Factorize each of the following expressions:$10x^4 - 10xy^4$

Given:

$10x^4 - 10xy^4$

To do:

We have to factorize the given expression.

Solution:

We know that,

$a^3 + b^3 = (a + b) (a^2 - ab + b^2)$

$a^3 - b^3 = (a - b) (a^2 + ab + b^2)$

Therefore,

$10x^4y- 10xy^4 = 10xy(x^3 - y^3)$

$= 10xy(x - y) (x^2 + xy + y^2)$

Hence, $10x^4y- 10xy^4 = 10xy(x - y) (x^2 + xy + y^2)$.

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Updated on: 10-Oct-2022

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