Solve {l}{1/3ab^{2}-1/2ab^{2}+1/3a^2b+1/2a^2b+frac{1}{6}ab^2+frac{1}{6}a^2}{-3t-(-4t)+7t+2t-5t+(-3t)-(-t)}

$$\left. \begin{array} { l } { \frac { 1 } { 3 } a b ^ { 2 } - \frac { 1 } { 2 } a b ^ { 2 } + \frac { 1 } { 3 } a ^ { 2 } b + \frac { 1 } { 2 } a ^ { 2 } b + \frac { 1 } { 6 } a b ^ { 2 } + \frac { 1 } { 6 } a ^ { 2 } } \\ { - 3 t - ( - 4 t ) + 7 t + 2 t - 5 t + ( - 3 t ) - ( - t ) } \end{array} \right.$$

Factor

$$\frac{18t+5ba^{2}+a^{2}}{6}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{2ab^{2}-3ab^{2}+2a^{2}b+3a^{2}b+ab^{2}+a^{2}-18t+24t+42t+12t-30t-18t+6t}{6}$$

Evaluate

$$\frac{5ba^{2}}{6}+\frac{a^{2}}{6}+3t$$