Which of the following is a factor of (x...

Which of the following is a factor of `(x+y)^3-(x^3+y^3)?`

A

`x^2+y^2+2xy`

B

`x^2+y^2-xy`

C

`xy^2`

D

`3xy`

Verified by Experts

The correct Answer is:

D

`(x+y)^3-(x^3+y^3)=3xy(x+y)`.
`therefore 3xy` is a factor of `(x+y)^3-(x^3+y^3)`.

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