Factor 12a^2+16ab-3b^2

Math
12a2+16ab-3b2
Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=12⋅-3=-36 and whose sum is b=16.
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Reorder terms.
12a2-3b2+16ab
Reorder -3b2 and 16ab.
12a2+16ab-3b2
Factor 16 out of 16ab.
12a2+16(ab)-3b2
Rewrite 16 as -2 plus 18
12a2+(-2+18)(ab)-3b2
Apply the distributive property.
12a2-2(ab)+18(ab)-3b2
Remove unnecessary parentheses.
12a2-2ab+18(ab)-3b2
Remove unnecessary parentheses.
12a2-2ab+18ab-3b2
12a2-2ab+18ab-3b2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(12a2-2ab)+18ab-3b2
Factor out the greatest common factor (GCF) from each group.
2a(6a-1b)+3b(6a-b)
2a(6a-1b)+3b(6a-b)
Factor the polynomial by factoring out the greatest common factor, 6a-1b.
(6a-1b)(2a+3b)
(6a-1b)(2a+3b)
Rewrite -1b as -b.
(6a-b)(2a+3b)
Factor 12a^2+16ab-3b^2

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