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