Solve (-11)^{8}n^{2}-1/2m^{4}n^{4}+2/3m^3n-4mn^4+(-4m^6n^3)

$$( - 11 ) ^ { 8 } n ^ { 2 } - \frac { 1 } { 2 } m ^ { 4 } n ^ { 4 } + \frac { 2 } { 3 } m ^ { 3 } n - 4 m n ^ { 4 } + ( - 4 m ^ { 6 } n ^ { 3 } )$$

Factor

$$\frac{n\left(4m^{3}-24mn^{3}-3n^{3}m^{4}-24n^{2}m^{6}[phone]n\right)}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{1286153286n^{2}-3m^{4}n^{4}+4m^{3}n-24mn^{4}-24m^{6}n^{3}}{6}$$

Consider 1286153286n^{2}-3m^{4}n^{4}+4m^{3}n-24mn^{4}-24m^{6}n^{3}. Factor out n.

$$n\left(1286153286n-3m^{4}n^{3}+4m^{3}-24mn^{3}-24m^{6}n^{2}\right)$$

Rewrite the complete factored expression.

$$\frac{n\left(1286153286n-3m^{4}n^{3}+4m^{3}-24mn^{3}-24m^{6}n^{2}\right)}{6}$$

Evaluate

$$-\frac{\left(mn\right)^{4}}{2}-4n^{3}m^{6}-4mn^{4}+\frac{2nm^{3}}{3}[phone]n^{2}$$