Solve 2m(m+1)(m+4)

$$2 m ( m + 1 ) ( m + 4 )$$

Expand

$$2m^{3}+10m^{2}+8m$$

Solution Steps

Use the distributive property to multiply 2m by m+1.

$$\left(2m^{2}+2m\right)\left(m+4\right)$$

Apply the distributive property by multiplying each term of 2m^{2}+2m by each term of m+4.

$$2m^{3}+8m^{2}+2m^{2}+8m$$

Combine 8m^{2} and 2m^{2} to get 10m^{2}.

$$2m^{3}+10m^{2}+8m$$

Evaluate

$$2m\left(m+1\right)\left(m+4\right)$$

Solution Steps

Use the distributive property to multiply 2m by m+1.

$$\left(2m^{2}+2m\right)\left(m+4\right)$$

Apply the distributive property by multiplying each term of 2m^{2}+2m by each term of m+4.

$$2m^{3}+8m^{2}+2m^{2}+8m$$

Combine 8m^{2} and 2m^{2} to get 10m^{2}.

$$2m^{3}+10m^{2}+8m$$