Solve a/b+b/a-2):3a-3b/9a^2b

$$\frac { a } { b } + \frac { b } { a } - 2 ) : \frac { 3 a - 3 b } { 9 a ^ { 2 } b }$$

Evaluate

$$\frac{\left(b-a\right)^{2}}{ab}$$

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}.

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

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

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

Do the multiplications in aa+bb.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{ab}{ab}.

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

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

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

Factor

$$\frac{\left(b-a\right)^{2}}{ab}$$