Solve -4/3a^{2}b^{3}-2a^{2}b^{3}+1/3a^2b^3-a^2b^3

$$- \frac { 4 } { 3 } a ^ { 2 } b ^ { 3 } - 2 a ^ { 2 } b ^ { 3 } + \frac { 1 } { 3 } a ^ { 2 } b ^ { 3 } - a ^ { 2 } b ^ { 3 }$$

Evaluate

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

Solution Steps

Combine -\frac{4}{3}a^{2}b^{3} and -2a^{2}b^{3} to get -\frac{10}{3}a^{2}b^{3}.

$$-\frac{10}{3}a^{2}b^{3}+\frac{1}{3}a^{2}b^{3}-a^{2}b^{3}$$

Combine -\frac{10}{3}a^{2}b^{3} and \frac{1}{3}a^{2}b^{3} to get -3a^{2}b^{3}.

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

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

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

Differentiate w.r.t. a

$$-8ab^{3}$$