Question:
Factorize:
$a b x^{2}+a^{2} x+b^{2} x+a b$
Solution:
We have:
$a b x^{2}+a^{2} x+b^{2} x+a b=\left(a b x^{2}+b^{2} x\right)+\left(a^{2} x+a b\right)$
$=b x(a x+b)+a(a x+b)$
$=(a x+b)(b x+a)$
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