# Factorize Each of the Following Algebraic Expressions: 2r(Y − X) + S(X − Y) - Mathematics

Sum

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

#### Solution

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

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.3 | Q 2 | Page 7