Solve 2a^{2}b+5a^2b-2/3a^2b-a^2b+a^2b/2=

$$2 a ^ { 2 } b + 5 a ^ { 2 } b - \frac { 2 } { 3 } a ^ { 2 } b - a ^ { 2 } b + \frac { a ^ { 2 } b } { 2 } =$$

Evaluate

$$\frac{35ba^{2}}{6}$$

Solution Steps

Combine 2a^{2}b and 5a^{2}b to get 7a^{2}b.

$$7a^{2}b-\frac{2}{3}a^{2}b-a^{2}b+\frac{a^{2}b}{2}$$

Combine 7a^{2}b and -\frac{2}{3}a^{2}b to get \frac{19}{3}a^{2}b.

$$\frac{19}{3}a^{2}b-a^{2}b+\frac{a^{2}b}{2}$$

Combine \frac{19}{3}a^{2}b and -a^{2}b to get \frac{16}{3}a^{2}b.

$$\frac{16}{3}a^{2}b+\frac{a^{2}b}{2}$$

Combine \frac{16}{3}a^{2}b and \frac{a^{2}b}{2} to get \frac{35}{6}a^{2}b.

$$\frac{35}{6}a^{2}b$$

Differentiate w.r.t. a

$$\frac{35ab}{3}$$