Solve m(m+4)(m-7)

$$m ( m + 4 ) ( m - 7 )$$

Evaluate

$$m\left(m-7\right)\left(m+4\right)$$

Solution Steps

Use the distributive property to multiply m by m+4.

$$\left(m^{2}+4m\right)\left(m-7\right)$$

Apply the distributive property by multiplying each term of m^{2}+4m by each term of m-7.

$$m^{3}-7m^{2}+4m^{2}-28m$$

Combine -7m^{2} and 4m^{2} to get -3m^{2}.

$$m^{3}-3m^{2}-28m$$

Expand

$$m^{3}-3m^{2}-28m$$

Solution Steps

Use the distributive property to multiply m by m+4.

$$\left(m^{2}+4m\right)\left(m-7\right)$$

Apply the distributive property by multiplying each term of m^{2}+4m by each term of m-7.

$$m^{3}-7m^{2}+4m^{2}-28m$$

Combine -7m^{2} and 4m^{2} to get -3m^{2}.

$$m^{3}-3m^{2}-28m$$