Question

factor
5x^2y^2-15xy^2-50y^2

Answer 1

first you want to try to simplify it a little by taking out 5y^2 to get:
\[5y^2(x^2-3x-10)\]
you can now factor the second part
\[x^2-5x+2x-10)\]
notice how i separated the two middle terms, to equal -3x, and that those two multiplied together will equal -10, so you have:
\[(x-5)(x+2)\]

final answer would be:
\[5y^2[(x-5)(x+2)]\]