Factorize:
$3 x^{3} - 75 x$

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Solution

Given expression is $3 x^{3} - 75 x$
We know $a^{2} - b^{2} = (a - b) (a + b)$
We can write $3 x^{3} - 75 x = 3 x (x^{2} - 25) =$ $3 x (x + 5) (x - 5)$
Thus factors are $3 x (x + 5) (x - 5)$ .

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