Question

Factorize each of the following expression:
ab(x² + 1) + x(a² + b²)

Answer 1

$$\begin{gathered} ab(x^2+1)+x(a^2+b^2)=ab{x}^2+ab+a^{2}x+b^{2}x \\ =(ab{x}^2+a^{2}x)+(b^{2}x+ab)[Regroupingtheexpressions] \\ =ax(bx+a)+b(bx+a) \\ =(ax+b)(bx+a)[Taking(bx+a)asthecommonfactor] \end{gathered}$$