Solve (2m^{4}-6n^{3}-8m^2-7)+(m^4-2n^3-4+m^2)

$$( 2 m ^ { 4 } - 6 n ^ { 3 } - 8 m ^ { 2 } - 7 ) + ( m ^ { 4 } - 2 n ^ { 3 } - 4 + m ^ { 2 } )$$

Evaluate

$$3m^{4}-7m^{2}-8n^{3}-11$$

Solution Steps

Combine 2m^{4} and m^{4} to get 3m^{4}.

$$3m^{4}-6n^{3}-8m^{2}-7-2n^{3}-4+m^{2}$$

Combine -6n^{3} and -2n^{3} to get -8n^{3}.

$$3m^{4}-8n^{3}-8m^{2}-7-4+m^{2}$$

Subtract 4 from -7 to get -11.

$$3m^{4}-8n^{3}-8m^{2}-11+m^{2}$$

Combine -8m^{2} and m^{2} to get -7m^{2}.

$$3m^{4}-8n^{3}-7m^{2}-11$$

Differentiate w.r.t. m

$$12m^{3}-14m$$