Algebra Examples

$6 v (2 v + 3)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$6 v (2 v) + 6 v \cdot 3$

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$6 \cdot 2 v \cdot v + 6 v \cdot 3$

Step 1.2.2

Multiply $3$ by $6$ .

$6 \cdot 2 v \cdot v + 18 v$

Step 2

Simplify each term.

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Step 2.1

Multiply $v$ by $v$ by adding the exponents.

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Step 2.1.1

Move $v$ .

$6 \cdot 2 (v \cdot v) + 18 v$

Step 2.1.2

Multiply $v$ by $v$ .

$6 \cdot 2 v^{2} + 18 v$

Step 2.2

Multiply $6$ by $2$ .

$12 v^{2} + 18 v$