Solve 5mn-10mn^2/1-4n^2

$$\frac { 5 m n - 10 m n ^ { 2 } } { 1 - 4 n ^ { 2 } }$$

Evaluate

$$\frac{5mn}{2n+1}$$

$$|n|\neq \frac{1}{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{5mn\left(-2n+1\right)}{\left(-2n-1\right)\left(2n-1\right)}$$

Extract the negative sign in 1-2n.

$$\frac{-5mn\left(2n-1\right)}{\left(-2n-1\right)\left(2n-1\right)}$$

Cancel out 2n-1 in both numerator and denominator.

$$\frac{-5mn}{-2n-1}$$

Expand

$$\frac{5mn}{2n+1}$$

$$|n|\neq \frac{1}{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{5mn\left(-2n+1\right)}{\left(-2n-1\right)\left(2n-1\right)}$$

Extract the negative sign in 1-2n.

$$\frac{-5mn\left(2n-1\right)}{\left(-2n-1\right)\left(2n-1\right)}$$

Cancel out 2n-1 in both numerator and denominator.

$$\frac{-5mn}{-2n-1}$$