Factor v^2*(18v)+80

$v^{2} \cdot (18 v) + 80$

Factor $2$ out of $v^{2} \cdot (18 v) + 80$ .

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Factor $2$ out of $v^{2} \cdot (18 v)$ .

$2 (v^{2} \cdot (9 v)) + 80$

Factor $2$ out of $80$ .

$2 (v^{2} \cdot (9 v)) + 2 (40)$

Factor $2$ out of $2 (v^{2} \cdot (9 v)) + 2 (40)$ .

$2 (v^{2} \cdot (9 v) + 40)$

Rewrite using the commutative property of multiplication.

$2 (9 v^{2} v + 40)$

Multiply $v^{2}$ by $v$ by adding the exponents.

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Move $v$ .

$2 (9 (v \cdot v^{2}) + 40)$

Multiply $v$ by $v^{2}$ .

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Raise $v$ to the power of $1$ .

$2 (9 (v^{1} v^{2}) + 40)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 (9 v^{1 + 2} + 40)$

Add $1$ and $2$ .

$2 (9 v^{3} + 40)$

Factor v^2*(18v)+80

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