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Question
Factorize each of the following expression:
abx2 + (ay − b) x − y
Solution
\[ab x^2 + (ay - b)x - y = ab x^2 + axy - bx - y\]
\[ = (ab x^2 - bx) + (axy - y)\] [Regrouping the expressions]
\[ = bx(ax - 1) + y(ax - 1)\]
\[ = (bx + y)(ax - 1)\] [Taking (ax - 1) as the common factor]
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