Solve m(m+1)(m+2)

$$m ( m + 1 ) ( m + 2 )$$

Expand

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

Solution Steps

Use the distributive property to multiply m by m+1.

$$\left(m^{2}+m\right)\left(m+2\right)$$

Apply the distributive property by multiplying each term of m^{2}+m by each term of m+2.

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

Combine 2m^{2} and m^{2} to get 3m^{2}.

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

Evaluate

$$m\left(m+1\right)\left(m+2\right)$$

Solution Steps

Use the distributive property to multiply m by m+1.

$$\left(m^{2}+m\right)\left(m+2\right)$$

Apply the distributive property by multiplying each term of m^{2}+m by each term of m+2.

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

Combine 2m^{2} and m^{2} to get 3m^{2}.

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