Question

factor 75a^2(x-2)-12(x-2)

Answer 1

Put (x-2) in evidence, you will have:

(x-2)(75a^2-12)
Put 3 in evidence in the second factor,
3(x-2)(25a^2-4)

Answer 2

\[75a^2(x-2)-12(x-2)\]Factor the \((x-2)\) out of both terms:
\[(x-2)(75a^2-12)\]Now factor a 3 out of the 2nd product term:\[3(x-2)(25a^2-4)\]Now recognize that the final product term is a difference of squares:\[3(x-2)(5a-2)(5a+2)\]