Sum and Difference of Cubes

What is the formula for factoring the sum of cubes, such as x^3 + 8?

• (x - 2)(x^2 - 2x + 4)

• (x + 2)(x^2 + 2x + 4)

• (x - 2)(x^2 + 2x + 4)

• (x + 2)(x^2 - 2x + 4)

How do you factor the expression x^3 + 125?

• (x + 5)(x^2 - 5x + 25)

• (x + 5)(x^2 + 5x + 25)

• (x - 5)(x^2 + 5x + 25)

• (x - 5)(x^2 - 5x + 25)

What is the result of factoring x^3 - 216?

• (x - 6)(x^2 + 6x + 36)

• (x + 6)(x^2 - 6x + 36)

• (x - 6)(x^2 - 6x + 36)

• (x + 6)(x^2 + 6x + 36)

For the expression 64y^3 - 125, what is the factored form using the difference of cubes formula?

• (4y + 5)(16y^2 + 20y + 25)

• (4y - 5)(16y^2 - 20y + 25)

• (4y + 5)(16y^2 - 20y + 25)

• (4y - 5)(16y^2 + 20y + 25)

How is the expression x^6 - 64y^9 factored using the generalized formula?

• (x^2 - 4y^3)(x^4 + 4x^2y^3 + 16y^6)

• (x^2 + 4y^3)(x^4 - 4x^2y^3 + 16y^6)

• (x^2 - 4y^3)(x^4 - 4x^2y^3 + 16y^6)

• (x^2 + 4y^3)(x^4 + 4x^2y^3 + 16y^6)