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

1 Answer

Aug 4, 2016

#(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)#.

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