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)`