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

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Answer 1 · 2016-08-04T18:50:05

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

Rearranging the terms, the Expression

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

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

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

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

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