Factorize each of the following expressions:$y^3 + 125$

Given:

$y^3 + 125$

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,

$y^3 + 125 = (y)^3 + (5)^3$

$= (y + 5) (y^2 - 5y + 5^2)$

$= (y + 5) (y^2 - 5y + 25)$

Hence, $y^3 + 125 = (y + 5) (y^2 - 5y + 25)$.

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Updated on: 10-Oct-2022

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