Solve s^2-5s/s^2-8s+15divs+3/s-3

$$\frac { s ^ { 2 } - 5 s } { s ^ { 2 } - 8 s + 15 } \div \frac { s + 3 } { s - 3 }$$

Evaluate

$$\frac{s}{s+3}$$

Short Solution Steps

Divide \frac{s^{2}-5s}{s^{2}-8s+15} by \frac{s+3}{s-3} by multiplying \frac{s^{2}-5s}{s^{2}-8s+15} by the reciprocal of \frac{s+3}{s-3}.

$$\frac{\left(s^{2}-5s\right)\left(s-3\right)}{\left(s^{2}-8s+15\right)\left(s+3\right)}$$

Factor the expressions that are not already factored.

$$\frac{s\left(s-5\right)\left(s-3\right)}{\left(s-5\right)\left(s-3\right)\left(s+3\right)}$$

Cancel out \left(s-5\right)\left(s-3\right) in both numerator and denominator.

$$\frac{s}{s+3}$$

Expand

$$\frac{s}{s+3}$$

Short Solution Steps

Divide \frac{s^{2}-5s}{s^{2}-8s+15} by \frac{s+3}{s-3} by multiplying \frac{s^{2}-5s}{s^{2}-8s+15} by the reciprocal of \frac{s+3}{s-3}.

$$\frac{\left(s^{2}-5s\right)\left(s-3\right)}{\left(s^{2}-8s+15\right)\left(s+3\right)}$$

Factor the expressions that are not already factored.

$$\frac{s\left(s-5\right)\left(s-3\right)}{\left(s-5\right)\left(s-3\right)\left(s+3\right)}$$

Cancel out \left(s-5\right)\left(s-3\right) in both numerator and denominator.

$$\frac{s}{s+3}$$