Solve 11/12ab^{2}c^{3}-ab^{2}c^{3}+5/2ab^{2}c^{3}-2/3ab^2c^3-3/4ab^2c^3=

$$\frac { 11 } { 12 } a b ^ { 2 } c ^ { 3 } - a b ^ { 2 } c ^ { 3 } + \frac { 5 } { 2 } a b ^ { 2 } c ^ { 3 } - \frac { 2 } { 3 } a b ^ { 2 } c ^ { 3 } - \frac { 3 } { 4 } a b ^ { 2 } c ^ { 3 } =$$

Evaluate

$$ab^{2}c^{3}$$

Solution Steps

Combine \frac{11}{12}ab^{2}c^{3} and -ab^{2}c^{3} to get -\frac{1}{12}ab^{2}c^{3}.

$$-\frac{1}{12}ab^{2}c^{3}+\frac{5}{2}ab^{2}c^{3}-\frac{2}{3}ab^{2}c^{3}-\frac{3}{4}ab^{2}c^{3}$$

Combine -\frac{1}{12}ab^{2}c^{3} and \frac{5}{2}ab^{2}c^{3} to get \frac{29}{12}ab^{2}c^{3}.

$$\frac{29}{12}ab^{2}c^{3}-\frac{2}{3}ab^{2}c^{3}-\frac{3}{4}ab^{2}c^{3}$$

Combine \frac{29}{12}ab^{2}c^{3} and -\frac{2}{3}ab^{2}c^{3} to get \frac{7}{4}ab^{2}c^{3}.

$$\frac{7}{4}ab^{2}c^{3}-\frac{3}{4}ab^{2}c^{3}$$

Combine \frac{7}{4}ab^{2}c^{3} and -\frac{3}{4}ab^{2}c^{3} to get ab^{2}c^{3}.

$$ab^{2}c^{3}$$

Differentiate w.r.t. a

$$b^{2}c^{3}$$