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Question
Factorize each of the following expressions:
ab − by − ay + y2
Solution
\[ab - by - ay + y^2 \]
\[ = (ab - ay) + ( y^2 - by)\] [Grouping the expressions]
\[ = a(b - y) + y(y - b)\]
\[ = a(b - y) - y(b - y) [ \because (y - b) = - (b - y)]\]
\[ = (a - y)(b - y)\] [Taking (b - y) as the common factor]
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