Solve m^2-t^2/m^2+t^2+9m-9t-2mt=

$$\frac { m ^ { 2 } - t ^ { 2 } } { m ^ { 2 } + t ^ { 2 } + 9 m - 9 t - 2 m t } =$$

Evaluate

$$\frac{m+t}{m-t+9}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(m+t\right)\left(m-t\right)}{\left(m-t\right)\left(m-t+9\right)}$$

Cancel out m-t in both numerator and denominator.

$$\frac{m+t}{m-t+9}$$

Expand

$$-\frac{m+t}{-m+t-9}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(m+t\right)\left(m-t\right)}{\left(m-t\right)\left(m-t+9\right)}$$

Cancel out m-t in both numerator and denominator.

$$\frac{m+t}{m-t+9}$$