Question

Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)²

Answer 1

$$a(x-y)+2b(y-x)+c(x-y{)}^2$$
$$=a(x-y)-2b(x-y)+c(x-y{)}^2[\because (y-x)=-(x-y)]$$
$$=[a-2b+c(x-y)](x-y)$$
$$=(a-2b+cx-cy)(x-y)$$