Solve -5/6a^2b-3/4b-1/3a^2b-7/4b+frac{5}{6}a^2b-a^2b

$$- \frac { 5 } { 6 } a ^ { 2 } b - \frac { 3 } { 4 } b - \frac { 1 } { 3 } a ^ { 2 } b - \frac { 7 } { 4 } b + \frac { 5 } { 6 } a ^ { 2 } b - a ^ { 2 } b$$

Factor

$$\frac{b\left(-8a^{2}-15\right)}{6}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{-10a^{2}b-9b-4a^{2}b-21b+10a^{2}b-12a^{2}b}{12}$$

Consider -10a^{2}b-9b-4a^{2}b-21b+10a^{2}b-12a^{2}b. Factor out b.

$$b\left(-16a^{2}-30\right)$$

Consider -10a^{2}-9-4a^{2}-21+10a^{2}-12a^{2}. Multiply and combine like terms.

$$-16a^{2}-30$$

Consider -16a^{2}-30. Factor out 2.

$$2\left(-8a^{2}-15\right)$$

Rewrite the complete factored expression.

$$\frac{b\left(-8a^{2}-15\right)}{6}$$

Evaluate

$$-\frac{4ba^{2}}{3}-\frac{5b}{2}$$