Factor 2w^2(w-6)+(w-6)

Math
2w2(w-6)+(w-6)
Remove parentheses.
2w2(w-6)+w-6
Apply the distributive property.
2w2w+2w2⋅-6+w-6
Multiply w2 by w by adding the exponents.
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Move w.
2(w⋅w2)+2w2⋅-6+w-6
Multiply w by w2.
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Raise w to the power of 1.
2(w1w2)+2w2⋅-6+w-6
Use the power rule aman=am+n to combine exponents.
2w1+2+2w2⋅-6+w-6
2w1+2+2w2⋅-6+w-6
Add 1 and 2.
2w3+2w2⋅-6+w-6
2w3+2w2⋅-6+w-6
Multiply -6 by 2.
2w3-12w2+w-6
Rewrite 2w3-12w2+w-6 in a factored form.
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Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(2w3-12w2)+w-6
Factor out the greatest common factor (GCF) from each group.
2w2(w-6)+1(w-6)
2w2(w-6)+1(w-6)
Factor the polynomial by factoring out the greatest common factor, w-6.
(w-6)(2w2+1)
(w-6)(2w2+1)
Factor 2w^2(w-6)+(w-6)

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