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Factorise:x^2-y^2-x-y​

User Matthaeus
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1 Answer

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Answer:

(x -y -1)(x +y)

Explanation:

The expression can be factored by grouping.

x^2 -y^2 -x -y = (x^2 -y^2) -(x +y)

= (x -y)(x +y) -1(x +y)

= (x -y -1)(x +y)

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It is useful to know that a difference of squares is factored as ...

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

User ClaytonJY
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3.1k points