Solve 3a^{3}b^{2}-2a^3b^2+4a^3b^2

$$3 a ^ { 3 } b ^ { 2 } - 2 a ^ { 3 } b ^ { 2 } + 4 a ^ { 3 } b ^ { 2 }$$

Evaluate

$$5b^{2}a^{3}$$

Solution Steps

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

$$a^{3}b^{2}+4a^{3}b^{2}$$

Combine a^{3}b^{2} and 4a^{3}b^{2} to get 5a^{3}b^{2}.

$$5a^{3}b^{2}$$

Differentiate w.r.t. a

$$15\left(ab\right)^{2}$$