Question

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

Answer 1

$$ab{x}^2+(ay-b)x-y=ab{x}^2+axy-bx-y$$
$$=(ab{x}^2-bx)+(axy-y)$$ [Regrouping the expressions]
$$=bx(ax-1)+y(ax-1)$$
$$=(bx+y)(ax-1)$$ [Taking (ax - 1) as the common factor]