Solve b/c^2+b^2/c^3

$$\frac { b } { c ^ { 2 } } + \frac { b ^ { 2 } } { c ^ { 3 } }$$

Evaluate

$$\frac{b\left(b+c\right)}{c^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of c^{2} and c^{3} is c^{3}. Multiply \frac{b}{c^{2}} times \frac{c}{c}.

$$\frac{bc}{c^{3}}+\frac{b^{2}}{c^{3}}$$

Since \frac{bc}{c^{3}} and \frac{b^{2}}{c^{3}} have the same denominator, add them by adding their numerators.

$$\frac{bc+b^{2}}{c^{3}}$$

Factor

$$\frac{b\left(b+c\right)}{c^{3}}$$