Factorise the given algebraic expression:-

2r(y-x)+ s(x-y)

2r(y - x) + s(x - y) = s(x - y) + 2r(y - x)

= s(x - y) + 2r[-(x - y)]

= s(x - y) - 2r(x - y)

= (x - y)(s - 2r)

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