Solve 2v-2/v^2-4-2/v^2-4

$$\frac { 2 v - 2 } { v ^ { 2 } - 4 } - \frac { 2 } { v ^ { 2 } - 4 }$$

Evaluate

$$\frac{2}{v+2}$$

Short Solution Steps

Since \frac{2v-2}{v^{2}-4} and \frac{2}{v^{2}-4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2v-2-2}{v^{2}-4}$$

Combine like terms in 2v-2-2.

$$\frac{2v-4}{v^{2}-4}$$

Factor the expressions that are not already factored in \frac{2v-4}{v^{2}-4}.

$$\frac{2\left(v-2\right)}{\left(v-2\right)\left(v+2\right)}$$

Cancel out v-2 in both numerator and denominator.

$$\frac{2}{v+2}$$

Expand

$$\frac{2}{v+2}$$

Short Solution Steps

Since \frac{2v-2}{v^{2}-4} and \frac{2}{v^{2}-4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2v-2-2}{v^{2}-4}$$

Combine like terms in 2v-2-2.

$$\frac{2v-4}{v^{2}-4}$$

Factor the expressions that are not already factored in \frac{2v-4}{v^{2}-4}.

$$\frac{2\left(v-2\right)}{\left(v-2\right)\left(v+2\right)}$$

Cancel out v-2 in both numerator and denominator.

$$\frac{2}{v+2}$$