Question

The expression (x-y)(x2+xy+y2) is equivalent to which of the following?

A. X2-y2

B. X3-y3

C. X3-xy2

D.x3-x2y+y2

Answer 1

x^3-y^3

Explanation:

(x-y)(x^2+xy+y^2)
Multiply the terms,
x^3 + x^2y + xy^2- x^2y - xy^2 - y^3
Simplify the terms,
x^3 - y^3
This is also the formula for difference of two cubes.