Solve 10+3p-p^2/25-p^2

$$\frac { 10 + 3 p - p ^ { 2 } } { 25 - p ^ { 2 } }$$

Evaluate

$$\frac{p+2}{p+5}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(p-5\right)\left(-p-2\right)}{\left(p-5\right)\left(-p-5\right)}$$

Cancel out p-5 in both numerator and denominator.

$$\frac{-p-2}{-p-5}$$

Expand

$$\frac{p+2}{p+5}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(p-5\right)\left(-p-2\right)}{\left(p-5\right)\left(-p-5\right)}$$

Cancel out p-5 in both numerator and denominator.

$$\frac{-p-2}{-p-5}$$