Solve left(4a^8-5b+2c^2right)+left(3b-2a^3-4c^2right)+left(6{c}^2+10{a}^3+7bright)

$$\left( 4 { a }^{ 8 } -5b+2 { c }^{ 2 } \right) + \left( 3b-2 { a }^{ 3 } -4 { c }^{ 2 } \right) + \left( 6 { c }^{ 2 } +10 { a }^{ 3 } +7b \right)$$

Evaluate

$$4a^{8}+8a^{3}+5b+4c^{2}$$

Solution Steps

Combine -5b and 3b to get -2b.

$$4a^{8}-2b+2c^{2}-2a^{3}-4c^{2}+6c^{2}+10a^{3}+7b$$

Combine 2c^{2} and -4c^{2} to get -2c^{2}.

$$4a^{8}-2b-2c^{2}-2a^{3}+6c^{2}+10a^{3}+7b$$

Combine -2c^{2} and 6c^{2} to get 4c^{2}.

$$4a^{8}-2b+4c^{2}-2a^{3}+10a^{3}+7b$$

Combine -2a^{3} and 10a^{3} to get 8a^{3}.

$$4a^{8}-2b+4c^{2}+8a^{3}+7b$$

Combine -2b and 7b to get 5b.

$$4a^{8}+5b+4c^{2}+8a^{3}$$

Differentiate w.r.t. c

$$8c$$