Question

x^3-y^3
Factor completely, then place the answer in the proper location on the grid.

Answer 1

For this case we must factor the following expression:

$x ^ 3-y ^ 3$

We have that since both terms are perfect cubes, we factor using the cube difference formula.

$a ^ 3-b ^ 3 = (a-b) (a ^ 2 + ab + b ^ 2)$

Where:

$a = x\\b = y$

So, we have to:

$x ^ 3-y ^ 3 = (x-y) (x ^ 2 + xy + y ^ 2)$

Answer:

$x ^ 3-y ^ 3 = (x-y) (x ^ 2 + xy + y ^ 2)$