Question

Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)

Answer 1

\[2r(y - x) + s(x - y)\]
\[ = 2r(y - x) - s(y - x) [ \because (x - y) = - (y - x)]\]
\[ = (2r - s)(y - x) [\text{ Taking }(y - x)\text{ as the common factor }]\]