Solve b/a-a/b^2=

$$\frac { b } { a } - \frac { a } { b ^ { 2 } } =$$

Evaluate

$$\frac{b}{a}-\frac{a}{b^{2}}$$

Short Solution Steps

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

$$\frac{bb^{2}}{ab^{2}}-\frac{aa}{ab^{2}}$$

Since \frac{bb^{2}}{ab^{2}} and \frac{aa}{ab^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{bb^{2}-aa}{ab^{2}}$$

Do the multiplications in bb^{2}-aa.

$$\frac{b^{3}-a^{2}}{ab^{2}}$$

Factor

$$\frac{b^{3}-a^{2}}{ab^{2}}$$