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 $]$

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