Factorize:
$15 b^{2} - 3 b x^{2} - 5 b + x^{2}$

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Solution

Given polynomial is $15 b^{2} - 3 b x^{2} - 5 b + x^{2}$
It can be factorised as
$15 b^{2} - 3 b x^{2} - 5 b + x^{2} = 3 b (5 b - x^{2}) - 1 (5 b - x^{2})$
$= (3 b - 1) (5 b - x^{2})$
Thus factors are $(3 b - 1), (5 b - x^{2})$ .

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