Factor q^3-125 completely.

The fully factored form is (q - 5) (q^2 + 5q + 25)

Step-by-step explanation:

To find this, we must first note that this is the difference of two perfect cubes. q^3 is q cubed and 125 is 5 cubed. So we can use the following formula and plug in the information to solve.

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

(q^3 - 5^3) = (q - 5) (q^2 + 5q + 25)