Solve m(-m^3+m^2+3m)

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

Evaluate

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

Solution Steps

Use the distributive property to multiply m by -m^{3}+m^{2}+3m.

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

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$m^{4}\left(-1\right)+m^{3}+3m^{2}$$

Expand

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

Solution Steps

Use the distributive property to multiply m by -m^{3}+m^{2}+3m.

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

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$m^{4}\left(-1\right)+m^{3}+3m^{2}$$