Factorise
$32 x^{4} - 500 x$

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Solution

ANSWER:
$32 x^{4} - 500 x$
= $(4 x) (8 x^{3} - 125)$
= $4 x ((2 x)^{3} - 5^{3})$
we know
$a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + a b)$
$a = 2 x$ ,
$b = 5$
= $4 x (2 x - 5) (4 x^{2} + 25 + 10 x)$

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