Question

(x-y)^3+(x+y)^3

Answer 1

\(\left(x-y\right)^3+\left(x+y\right)^3\)

\(=\left(x-y+x+y\right)\left[\left(x-y\right)^2-\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2\right]\)

\(=2x\left(x^2-2xy+y^2-x^2+y^2+x^2+2xy+y^2\right)\)

\(=2x\left(3y^2+x^2\right)\)

Answer 2

$#flo$

`(x-y)^3 + (x + y)^3`

`=(x-y+x+y)[(x-y)^2-(x-y)(x+y) + (x+y)^2]`

`=2x[(x^2 - 2xy + y^2 ) - (x^2 - y^2) + (x^2 + 2xy + y^2)]`

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

`=2x[(x^2 -x^2 + x^2) - (2xy -2xy) + (y^2 + y^2 + y^2)]`

`=2x(x^2 + 3y^2)`