Factorize each of the following algebraic expressions:
Question:
Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)
Solution:
$2 r(y-x)+s(x-y)$
$=2 r(y-x)-s(y-x)$ $[\because(x-y)=-(y-x)]$
$=(2 r-s)(y-x)$ $[$ Taking $(y-x)$ as the common factor $]$