# Factor 72g^2h-43gh+6h

72g2h-43gh+6h
Factor h out of 72g2h-43gh+6h.
Factor h out of 72g2h.
h(72g2)-43gh+6h
Factor h out of -43gh.
h(72g2)+h(-43g)+6h
Factor h out of 6h.
h(72g2)+h(-43g)+h⋅6
Factor h out of h(72g2)+h(-43g).
h(72g2-43g)+h⋅6
Factor h out of h(72g2-43g)+h⋅6.
h(72g2-43g+6)
h(72g2-43g+6)
Factor.
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=72⋅6=432 and whose sum is b=-43.
Factor -43 out of -43g.
h(72g2-43(g)+6)
Rewrite -43 as -16 plus -27
h(72g2+(-16-27)g+6)
Apply the distributive property.
h(72g2-16g-27g+6)
h(72g2-16g-27g+6)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
h((72g2-16g)-27g+6)
Factor out the greatest common factor (GCF) from each group.
h(8g(9g-2)-3(9g-2))
h(8g(9g-2)-3(9g-2))
Factor the polynomial by factoring out the greatest common factor, 9g-2.
h((9g-2)(8g-3))
h((9g-2)(8g-3))
Remove unnecessary parentheses.
h(9g-2)(8g-3)
h(9g-2)(8g-3)
Factor 72g^2h-43gh+6h

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