Question

(g − 3h + 6f)(x − y)(x + y). solve

Answer 1

First simplify the x-factors: (x − y)(x + y) = x^2 − y^2. So

(g − 3h + 6f)(x − y)(x + y) = (g − 3h + 6f)(x^2 − y^2).

Expanded fully:
= (g − 3h + 6f)x^2 − (g − 3h + 6f)y^2
= gx^2 − g y^2 − 3h x^2 + 3h y^2 + 6f x^2 − 6f y^2.

If you meant “solve” as an equation, specify what it equals. For example, if set equal to 0:
(g − 3h + 6f)(x − y)(x + y) = 0
⇒ g − 3h + 6f = 0 or x − y = 0 (x = y) or x + y = 0 (x = −y).

Tell me which form or which variable you want solved for if you meant something else.