Question
Factorize of the following algebraic expression:
$a(x - y) + 2b(y - x) + c(x - y)^2$
$a(x - y) + 2b(y - x) + c(x - y)^2$
✓
Answer
$ba(x-y)+2 b(y-x)+c(x-y)^2 $
$ =a(x-y)-2 b(x-y)+c(x-y)^2[(y-x)=-(x-y) $
$= [a - 2b + c(x - y)] (x - y)$
$= (a - 2b + cx - cy)(x - y)$
$ =a(x-y)-2 b(x-y)+c(x-y)^2[(y-x)=-(x-y) $
$= [a - 2b + c(x - y)] (x - y)$
$= (a - 2b + cx - cy)(x - y)$
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