Question

Factorize each of the following expression:
abx² + (ay − b) x − y

Answer 1

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