Solve m(m+3)(m-5)

$$m ( m + 3 ) ( m - 5 )$$

Evaluate

$$m\left(m-5\right)\left(m+3\right)$$

Solution Steps

Use the distributive property to multiply m by m+3.

$$\left(m^{2}+3m\right)\left(m-5\right)$$

Apply the distributive property by multiplying each term of m^{2}+3m by each term of m-5.

$$m^{3}-5m^{2}+3m^{2}-15m$$

Combine -5m^{2} and 3m^{2} to get -2m^{2}.

$$m^{3}-2m^{2}-15m$$

Expand

$$m^{3}-2m^{2}-15m$$

Solution Steps

Use the distributive property to multiply m by m+3.

$$\left(m^{2}+3m\right)\left(m-5\right)$$

Apply the distributive property by multiplying each term of m^{2}+3m by each term of m-5.

$$m^{3}-5m^{2}+3m^{2}-15m$$

Combine -5m^{2} and 3m^{2} to get -2m^{2}.

$$m^{3}-2m^{2}-15m$$