Solve 3r^2-2rt-5t^2/9r^2-25t^2

$$\frac { 3 r ^ { 2 } - 2 r t - 5 t ^ { 2 } } { 9 r ^ { 2 } - 25 t ^ { 2 } }$$

Evaluate

$$\frac{r+t}{3r+5t}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out 3r-5t in both numerator and denominator.

$$\frac{r+t}{3r+5t}$$

Expand

$$\frac{r+t}{3r+5t}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out 3r-5t in both numerator and denominator.

$$\frac{r+t}{3r+5t}$$