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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