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Algebraic Identities

Factorise :- ...

Question

Factorise :- x(a-5)+ y(5-a)

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Solution

x(a-5)+ y(5-a)

=x(a-5)+y(-(-5+a)

=x(a-5)+y(-(a-5)

=x(a-5)-y(a-5)

=(a-5)(x-y)

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