Basic Math Examples

$2 v^{2} \cdot (2 v) - 40$

Step 1

Rewrite using the commutative property of multiplication.

$2 \cdot 2 v^{2} v - 40$

Step 2

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

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Step 2.1

Move $v$ .

$2 \cdot 2 (v \cdot v^{2}) - 40$

Step 2.2

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

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Step 2.2.1

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

$2 \cdot 2 (v^{1} v^{2}) - 40$

Step 2.2.2

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

$2 \cdot 2 v^{1 + 2} - 40$

Step 2.3

Add $1$ and $2$ .

$2 \cdot 2 v^{3} - 40$

Step 3

Multiply $2$ by $2$ .

$4 v^{3} - 40$

Step 4

Factor $4$ out of $4 v^{3} - 40$ .

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Step 4.1

Factor $4$ out of $4 v^{3}$ .

$4 (v^{3}) - 40$

Step 4.2

Factor $4$ out of $- 40$ .

$4 v^{3} + 4 \cdot - 10$

Step 4.3

Factor $4$ out of $4 v^{3} + 4 \cdot - 10$ .

$4 (v^{3} - 10)$