Simplify 3m^2(4+m)

$3 m^{2} (4 + m)$

Step 1

Apply the distributive property.

$3 m^{2} \cdot 4 + 3 m^{2} m$

Step 2

Multiply $4$ by $3$ .

$12 m^{2} + 3 m^{2} m$

Step 3

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

Move $m$ .

$12 m^{2} + 3 (m \cdot m^{2})$

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

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

$12 m^{2} + 3 (m^{1} m^{2})$

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

$12 m^{2} + 3 m^{1 + 2}$

Add $1$ and $2$ .

$12 m^{2} + 3 m^{3}$