Answer:
3w^2(5w + 2)(5w - 2)
Explanation:
75w^4 - 12w^2
75 and 12 are both divisible by 3 and w^2, so we take out 3w^2, and when we do that we get:
3w^2(25w^2 - 4)
(25w^2 - 4) can be factored even further because 25 and 4 are both perfect squares:
3w^2(5w + 2)(5w - 2)