Factor 12a^2+6ab-36b^2

Math
12a2+6ab-36b2
Factor 6 out of 12a2+6ab-36b2.
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Factor 6 out of 12a2.
6(2a2)+6ab-36b2
Factor 6 out of 6ab.
6(2a2)+6(ab)-36b2
Factor 6 out of -36b2.
6(2a2)+6(ab)+6(-6b2)
Factor 6 out of 6(2a2)+6(ab).
6(2a2+ab)+6(-6b2)
Factor 6 out of 6(2a2+ab)+6(-6b2).
6(2a2+ab-6b2)
6(2a2+ab-6b2)
Factor.
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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=2⋅-6=-12 and whose sum is b=1.
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Reorder terms.
6(2a2-6b2+ab)
Reorder -6b2 and ab.
6(2a2+ab-6b2)
Factor 1 out of ab.
6(2a2+1(ab)-6b2)
Rewrite 1 as -3 plus 4
6(2a2+(-3+4)(ab)-6b2)
Apply the distributive property.
6(2a2-3(ab)+4(ab)-6b2)
Remove unnecessary parentheses.
6(2a2-3ab+4(ab)-6b2)
Remove unnecessary parentheses.
6(2a2-3ab+4ab-6b2)
6(2a2-3ab+4ab-6b2)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
6((2a2-3ab)+4ab-6b2)
Factor out the greatest common factor (GCF) from each group.
6(a(2a-3b)+2b(2a-3b))
6(a(2a-3b)+2b(2a-3b))
Factor the polynomial by factoring out the greatest common factor, 2a-3b.
6((2a-3b)(a+2b))
6((2a-3b)(a+2b))
Remove unnecessary parentheses.
6(2a-3b)(a+2b)
6(2a-3b)(a+2b)
Factor 12a^2+6ab-36b^2

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