Solve frac{18a^{3}b^2}{6a^2}+4ab^4/2b^2

$$\frac { 18 a ^ { 3 } b ^ { 2 } } { 6 a ^ { 2 } } + \frac { 4 a b ^ { 4 } } { 2 b ^ { 2 } }$$

Evaluate

$$5ab^{2}$$

Solution Steps

Cancel out 6a^{2} in both numerator and denominator.

$$3ab^{2}+\frac{4ab^{4}}{2b^{2}}$$

Cancel out 2b^{2} in both numerator and denominator.

$$3ab^{2}+2ab^{2}$$

Combine 3ab^{2} and 2ab^{2} to get 5ab^{2}.

$$5ab^{2}$$

Differentiate w.r.t. a

$$5b^{2}$$