Question

Factorize:
abx² + a²x + b²x + ab

Answer 1

We have:
$ab{x}^2+a^{2}x+b^{2}x+ab=\left(ab{x}^2+b^{2}x\right)+\left(a^{2}x+ab\right)$
$$\begin{gathered} =bx\left(ax+b\right)+a\left(ax+b\right) \\ =\left(ax+b\right)\left(bx+a\right) \end{gathered}$$