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