Solve p^2+4p+pq+4q/p^2-q^2

$$\frac { p ^ { 2 } + 4 p + p q + 4 q } { p ^ { 2 } - q ^ { 2 } }$$

Evaluate

$$\frac{p+4}{p-q}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(p+4\right)\left(p+q\right)}{\left(p+q\right)\left(p-q\right)}$$

Cancel out p+q in both numerator and denominator.

$$\frac{p+4}{p-q}$$

Expand

$$\frac{p+4}{p-q}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(p+4\right)\left(p+q\right)}{\left(p+q\right)\left(p-q\right)}$$

Cancel out p+q in both numerator and denominator.

$$\frac{p+4}{p-q}$$