Simplify (2v+1)(8v^2+4v-7)

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(2v+1)(8v2+4v-7)
Expand (2v+1)(8v2+4v-7) by multiplying each term in the first expression by each term in the second expression.
2v(8v2)+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
2⋅8(v⋅v2)+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Multiply v by v2 by adding the exponents.
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Multiply v by v2.
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Raise v to the power of 1.
2⋅8(v1v2)+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Use the power rule aman=am+n to combine exponents.
2⋅8v1+2+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
2⋅8v1+2+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Add 1 and 2.
2⋅8v3+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
2⋅8v3+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Multiply 2 by 8.
16v3+2v(4v)+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Multiply v by v.
16v3+2⋅4v2+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Multiply 2 by 4.
16v3+8v2+2v⋅-7+1(8v2)+1(4v)+1⋅-7
Multiply -7 by 2.
16v3+8v2-14v+1(8v2)+1(4v)+1⋅-7
Multiply 8v2 by 1.
16v3+8v2-14v+8v2+1(4v)+1⋅-7
Multiply 4v by 1.
16v3+8v2-14v+8v2+4v+1⋅-7
Multiply -7 by 1.
16v3+8v2-14v+8v2+4v-7
16v3+8v2-14v+8v2+4v-7
Simplify by adding terms.
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Add 8v2 and 8v2.
16v3+16v2-14v+4v-7
Add -14v and 4v.
16v3+16v2-10v-7
16v3+16v2-10v-7
16v3+16v2-10v-7
Simplify (2v+1)(8v^2+4v-7)

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