Solve 1/6k^{4}m^2-1/2km^3+1/3k^2m^2

$$\frac { 1 } { 6 } k ^ { 4 } m ^ { 2 } - \frac { 1 } { 2 } k m ^ { 3 } + \frac { 1 } { 3 } k ^ { 2 } m ^ { 2 }$$

Factor

$$\frac{km^{2}\left(2k+k^{3}-3m\right)}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{k^{4}m^{2}-3km^{3}+2k^{2}m^{2}}{6}$$

Consider k^{4}m^{2}-3km^{3}+2k^{2}m^{2}. Factor out km^{2}.

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

Rewrite the complete factored expression.

$$\frac{km^{2}\left(k^{3}-3m+2k\right)}{6}$$

Evaluate

$$\frac{km^{2}\left(2k+k^{3}-3m\right)}{6}$$