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Question
Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)2
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Solution
\[a(x - y) + 2b(y - x) + c(x - y )^2 \]
\[ = a(x - y) - 2b(x - y) + c(x - y )^2 [ \because (y - x) = - (x - y)]\]
\[ = [a - 2b + c(x - y)](x - y)\]
\[ = (a - 2b + cx - cy)(x - y)\]
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