Solve 3/5a^2b-1/6a^2b+1/3a^2b-a^2b=

$$3 / 5 a ^ { 2 } b - 1 / 6 a ^ { 2 } b + 1 / 3 a ^ { 2 } b - a ^ { 2 } b =$$

Evaluate

$$-\frac{7ba^{2}}{30}$$

Solution Steps

Combine \frac{3}{5}a^{2}b and -\frac{1}{6}a^{2}b to get \frac{13}{30}a^{2}b.

$$\frac{13}{30}a^{2}b+\frac{1}{3}a^{2}b-a^{2}b$$

Combine \frac{13}{30}a^{2}b and \frac{1}{3}a^{2}b to get \frac{23}{30}a^{2}b.

$$\frac{23}{30}a^{2}b-a^{2}b$$

Combine \frac{23}{30}a^{2}b and -a^{2}b to get -\frac{7}{30}a^{2}b.

$$-\frac{7}{30}a^{2}b$$

Differentiate w.r.t. a

$$-\frac{7ab}{15}$$