Question

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

Answer 1

use the formula (x^3-y^3) = (x-y)(x^2 + xy +y^2)
x^3+(x-y)^3
= [x-(x-y)][x^2 + x(x-y) + (x-y)^2]
= y (x^2 + x^2 -xy +x^2 -2xy +y^2)
= y (3x^2 - 3xy + y^2)

Answer 2

But in the back of the book it says that the correct answer is (2x-y)(x^2-xy+y^2)

Answer 3

and i have no idea how they got that because that wont equal to x^3 :/

Answer 4

nahh.. i thought it was a '-' ...

Answer 5

once again
use the formula (x^3+y^3) = (x+y)(x^2 - xy +y^2)
x^3+(x-y)^3
= [x+(x-y)][x^2 -x(x-y) + (x-y)^2]
= (2x-y) (x^2 - x^2 +xy +x^2 -2xy +y^2)
= (2x-y) (x^2 - xy + y^2)

Answer 6

sorry :(