Solve (2)(a+b)^2-4ab/ab(a-b)^2

$$( 2 ) \frac { ( a + b ) ^ { 2 } - 4 a b } { a b ( a - b ) ^ { 2 } }$$

Evaluate

$$\frac{2}{ab}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{\left(a+b\right)^{2}-4ab}{ab\left(a-b\right)^{2}}.

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

Cancel out \left(a-b\right)^{2} in both numerator and denominator.

$$2\times \frac{1}{ab}$$

Express 2\times \frac{1}{ab} as a single fraction.

$$\frac{2}{ab}$$

Expand

$$\frac{2}{ab}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{\left(a+b\right)^{2}-4ab}{ab\left(a-b\right)^{2}}.

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

Cancel out \left(a-b\right)^{2} in both numerator and denominator.

$$2\times \frac{1}{ab}$$

Express 2\times \frac{1}{ab} as a single fraction.

$$\frac{2}{ab}$$