Question:
Factorize each of the following expression:
abx2 + (ay − b) x − y
Solution:
$a b x^{2}+(a y-b) x-y=a b x^{2}+a x y-b x-y$
$=\left(a b x^{2}-b x\right)+(a x y-y)$ [Regrouping the expressions]
$=b x(a x-1)+y(a x-1)$
$=(b x+y)(a x-1)$ $[$ Taking $(a x-1)$ as the common factor $]$
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