Simplify (2v^2-4v-6)(7v+3)

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(2v2-4v-6)(7v+3)
Expand (2v2-4v-6)(7v+3) by multiplying each term in the first expression by each term in the second expression.
2v2(7v)+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
2⋅7(v2v)+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
Multiply v2 by v by adding the exponents.
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Multiply v2 by v.
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Raise v to the power of 1.
2⋅7(v2v1)+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
Use the power rule aman=am+n to combine exponents.
2⋅7v2+1+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
2⋅7v2+1+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
Add 2 and 1.
2⋅7v3+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
2⋅7v3+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
Multiply 2 by 7.
14v3+2v2⋅3-4v(7v)-4v⋅3-6(7v)-6⋅3
Multiply 3 by 2.
14v3+6v2-4v(7v)-4v⋅3-6(7v)-6⋅3
Multiply v by v.
14v3+6v2-4⋅7v2-4v⋅3-6(7v)-6⋅3
Multiply -4 by 7.
14v3+6v2-28v2-4v⋅3-6(7v)-6⋅3
Multiply 3 by -4.
14v3+6v2-28v2-12v-6(7v)-6⋅3
Multiply 7 by -6.
14v3+6v2-28v2-12v-42v-6⋅3
Multiply -6 by 3.
14v3+6v2-28v2-12v-42v-18
14v3+6v2-28v2-12v-42v-18
Simplify by adding terms.
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Subtract 28v2 from 6v2.
14v3-22v2-12v-42v-18
Subtract 42v from -12v.
14v3-22v2-54v-18
14v3-22v2-54v-18
14v3-22v2-54v-18
Simplify (2v^2-4v-6)(7v+3)

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