Simplify (2v^2-5v-3)(6v+4)

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(2v2-5v-3)(6v+4)
Expand (2v2-5v-3)(6v+4) by multiplying each term in the first expression by each term in the second expression.
2v2(6v)+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
2⋅6(v2v)+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
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⋅6(v2v1)+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
Use the power rule aman=am+n to combine exponents.
2⋅6v2+1+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
2⋅6v2+1+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
Add 2 and 1.
2⋅6v3+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
2⋅6v3+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
Multiply 2 by 6.
12v3+2v2⋅4-5v(6v)-5v⋅4-3(6v)-3⋅4
Multiply 4 by 2.
12v3+8v2-5v(6v)-5v⋅4-3(6v)-3⋅4
Multiply v by v.
12v3+8v2-5⋅6v2-5v⋅4-3(6v)-3⋅4
Multiply -5 by 6.
12v3+8v2-30v2-5v⋅4-3(6v)-3⋅4
Multiply 4 by -5.
12v3+8v2-30v2-20v-3(6v)-3⋅4
Multiply 6 by -3.
12v3+8v2-30v2-20v-18v-3⋅4
Multiply -3 by 4.
12v3+8v2-30v2-20v-18v-12
12v3+8v2-30v2-20v-18v-12
Simplify by adding terms.
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Subtract 30v2 from 8v2.
12v3-22v2-20v-18v-12
Subtract 18v from -20v.
12v3-22v2-38v-12
12v3-22v2-38v-12
12v3-22v2-38v-12
Simplify (2v^2-5v-3)(6v+4)

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