Solve m^216m-m^3+m^4

$$m ^ { 2 } 16 m - m ^ { 3 } + m ^ { 4 }$$

Evaluate

$$\left(m+15\right)m^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$m^{3}\times 16-m^{3}+m^{4}$$

Combine m^{3}\times 16 and -m^{3} to get 15m^{3}.

$$15m^{3}+m^{4}$$

Factor

$$\left(m+15\right)m^{3}$$

Solution Steps

Factor out m^{3}.

$$m^{3}\left(\frac{16m}{m}-1+m\right)$$

Consider 16-1+m. Multiply and combine like terms.

$$m+15$$

Rewrite the complete factored expression.

$$m^{3}\left(m+15\right)$$