Solve (a-3b)^2-(a+b)^2/4(a-b)^2=

$$\frac { ( a - 3 b ) ^ { 2 } - ( a + b ) ^ { 2 } } { 4 ( a - b ) ^ { 2 } } =$$

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{-4\times 2b\left(a-b\right)}{4\left(a-b\right)^{2}}$$

Cancel out 4\left(a-b\right) in both numerator and denominator.

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

Expand

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

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{-4\times 2b\left(a-b\right)}{4\left(a-b\right)^{2}}$$

Cancel out 4\left(a-b\right) in both numerator and denominator.

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