Solve mm^2-mn+m^2+5mm^2-3m^2-5mm

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

Evaluate

$$m\left(6m^{2}-7m-n\right)$$

Solution Steps

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

$$m^{3}-mn+m^{2}+5mm^{2}-3m^{2}-5mm$$

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

$$m^{3}-mn+m^{2}+5m^{3}-3m^{2}-5mm$$

Multiply m and m to get m^{2}.

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

Combine m^{3} and 5m^{3} to get 6m^{3}.

$$6m^{3}-mn+m^{2}-3m^{2}-5m^{2}$$

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

$$6m^{3}-mn-2m^{2}-5m^{2}$$

Combine -2m^{2} and -5m^{2} to get -7m^{2}.

$$6m^{3}-mn-7m^{2}$$

Factor

$$m\left(6m^{2}-7m-n\right)$$

Solution Steps

Factor out m.

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