Expand $ (x-y)^{2}-2(x-y)

Given:

\( (x-y)^{2}-2(x-y) \).

To do:

We have to expand \( (x-y)^{2}-2(x-y) \).

Solution:

We know that,

$(a-b)^2=a^2-2ab+b^2$

$(x-y)^{2}-2(x-y)=x^2-2xy+y^2-2x-2(-y)$

$=x^2+y^2-2xy-2x+2y$

Therefore,

$(x-y)^{2}-2(x-y)=x^2+y^2-2xy-2x+2y$.

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Updated on: 10-Oct-2022

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