Simplify (2w-12)(w+7)

Math
(2w-12)(w+7)
Expand (2w-12)(w+7) using the FOIL Method.
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Apply the distributive property.
2w(w+7)-12(w+7)
Apply the distributive property.
2w⋅w+2w⋅7-12(w+7)
Apply the distributive property.
2w⋅w+2w⋅7-12w-12⋅7
2w⋅w+2w⋅7-12w-12⋅7
Simplify and combine like terms.
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Simplify each term.
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Multiply w by w by adding the exponents.
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Move w.
2(w⋅w)+2w⋅7-12w-12⋅7
Multiply w by w.
2w2+2w⋅7-12w-12⋅7
2w2+2w⋅7-12w-12⋅7
Multiply 7 by 2.
2w2+14w-12w-12⋅7
Multiply -12 by 7.
2w2+14w-12w-84
2w2+14w-12w-84
Subtract 12w from 14w.
2w2+2w-84
2w2+2w-84
Simplify (2w-12)(w+7)

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