3 years ago

Factorise:x^2-y^2-x-y

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

9514 1404 393

Answer:

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

Step-by-step 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)

_____

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

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

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Factorise:x^2-y^2-x-y​

Factorise:x^2-y^2-x-y