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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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