Solve 6u^3+4u^-1/3u^2

$$\frac { 6 u ^ { 3 } + 4 u ^ { - 1 } } { 3 u ^ { 2 } }$$

Evaluate

$$2u+\frac{4}{3u^{3}}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\times \frac{1}{u}\left(3u^{4}+2\right)}{3u^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2\left(3u^{4}+2\right)}{3u^{3}}$$

Expand the expression.

$$\frac{6u^{4}+4}{3u^{3}}$$

Expand

$$2u+\frac{4}{3u^{3}}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\times \frac{1}{u}\left(3u^{4}+2\right)}{3u^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2\left(3u^{4}+2\right)}{3u^{3}}$$

Expand the expression.

$$\frac{6u^{4}+4}{3u^{3}}$$