Find the Product 6v(2v+3)

$6 v (2 v + 3)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Simplify the expression.

Rewrite using the commutative property of multiplication.

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

Multiply $3$ by $6$ .

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

Step 2

Simplify each term.

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

Move $v$ .

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

Multiply $v$ by $v$ .

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

Multiply $6$ by $2$ .

$12 v^{2} + 18 v$