Solve m^{2}+71mn-14m^{2}-65mn+m^3-m^2-115m^2+6m^3=

$$m ^ { 2 } + 71 m n - 14 m ^ { 2 } - 65 m n + m ^ { 3 } - m ^ { 2 } - 115 m ^ { 2 } + 6 m ^ { 3 } =$$

Evaluate

$$m\left(7m^{2}-129m+6n\right)$$

Solution Steps

Combine m^{2} and -14m^{2} to get -13m^{2}.

$$-13m^{2}+71mn-65mn+m^{3}-m^{2}-115m^{2}+6m^{3}$$

Combine 71mn and -65mn to get 6mn.

$$-13m^{2}+6mn+m^{3}-m^{2}-115m^{2}+6m^{3}$$

Combine -13m^{2} and -m^{2} to get -14m^{2}.

$$-14m^{2}+6mn+m^{3}-115m^{2}+6m^{3}$$

Combine -14m^{2} and -115m^{2} to get -129m^{2}.

$$-129m^{2}+6mn+m^{3}+6m^{3}$$

Combine m^{3} and 6m^{3} to get 7m^{3}.

$$-129m^{2}+6mn+7m^{3}$$

Factor

$$m\left(7m^{2}-129m+6n\right)$$

Solution Steps

Factor out m.

$$m\left(m+71n-14m-65n+m^{2}-m-115m+6m^{2}\right)$$