Question

Divide (x^4 - y^4) by (x-y)
Show your calculation .
You can use factorisation.
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Answer 1

`\boxed{x^3 + xy^2 + yx^2 + y^3}`

Explanation:

`(x^4 - y^4)/(x - y)`

`= ((x^2)^2 - (y^2)^2)/(x - y)`

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

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

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

`= x^3 + xy^2 + yx^2 + y^3`

Answer 2

4

Explanation:

x4−y4/x−y

=

x4−y4/x−y