Factor g^2+gh-12h^2

Math
g2+gh-12h2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=1⋅-12=-12 and whose sum is b=1.
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Reorder terms.
g2-12h2+gh
Reorder -12h2 and gh.
g2+gh-12h2
Factor 1 out of gh.
g2+1(gh)-12h2
Rewrite 1 as -3 plus 4
g2+(-3+4)(gh)-12h2
Apply the distributive property.
g2-3(gh)+4(gh)-12h2
Remove unnecessary parentheses.
g2-3gh+4(gh)-12h2
Remove unnecessary parentheses.
g2-3gh+4gh-12h2
g2-3gh+4gh-12h2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(g2-3gh)+4gh-12h2
Factor out the greatest common factor (GCF) from each group.
g(g-3h)+4h(g-3h)
g(g-3h)+4h(g-3h)
Factor the polynomial by factoring out the greatest common factor, g-3h.
(g-3h)(g+4h)
Factor g^2+gh-12h^2

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