Solve a/b-b/a)diva-b/a

$$\frac { a } { b } - \frac { b } { a } ) \div \frac { a - b } { a }$$

Evaluate

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

Short Solution Steps

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

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

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

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

Do the multiplications in aa-bb.

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

Factor

$$\frac{\left(-a-b\right)\left(b-a\right)}{ab}$$