Question

How do you factor `gx^2 - 3hx^2 - 6fy^2 - gy^2 + 6fx^2 + 3hy^2`?

Answer 1

`(x+y)(x-y)(g-3h+6f)`.

Explanation:

Rearranging the terms, the Expression

`=gx^2-gy^2-3hx^2+3hy^2+6fx^2-6fy^2`

`=g(x^2-y^2)-3h(x^2-y^2)+6f(x^2-y^2)`

`=(x^2-y^2)(g-3h+6f)`

`=(x+y)(x-y)(g-3h+6f)`.