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Question

Factorize each of the following expression:
x − y − x2 + y2

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Solution

x-y-x2+y2=(x-y)+(y2-x2) [Regrouping the terms]=(x-y)+(y+x)(y-x)=(x-y)-(y+x)(x-y) [(y-x)=-(x-y)]=(x-y)[1-(y+x)]=(x-y)(1-x-y)

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