Solve m^2+9m+18/m-5*5m-25/5m+15

$$\frac { m ^ { 2 } + 9 m + 18 } { m - 5 } \cdot \frac { 5 m - 25 } { 5 m + 15 }$$

Evaluate

$$m+6$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{5m-25}{5m+15}.

$$\frac{m^{2}+9m+18}{m-5}\times \frac{5\left(m-5\right)}{5\left(m+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{m^{2}+9m+18}{m-5}\times \frac{m-5}{m+3}$$

Multiply \frac{m^{2}+9m+18}{m-5} times \frac{m-5}{m+3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(m^{2}+9m+18\right)\left(m-5\right)}{\left(m-5\right)\left(m+3\right)}$$

Cancel out m-5 in both numerator and denominator.

$$\frac{m^{2}+9m+18}{m+3}$$

Factor the expressions that are not already factored.

$$\frac{\left(m+3\right)\left(m+6\right)}{m+3}$$

Cancel out m+3 in both numerator and denominator.

$$m+6$$

Expand

$$m+6$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{5m-25}{5m+15}.

$$\frac{m^{2}+9m+18}{m-5}\times \frac{5\left(m-5\right)}{5\left(m+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{m^{2}+9m+18}{m-5}\times \frac{m-5}{m+3}$$

Multiply \frac{m^{2}+9m+18}{m-5} times \frac{m-5}{m+3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(m^{2}+9m+18\right)\left(m-5\right)}{\left(m-5\right)\left(m+3\right)}$$

Cancel out m-5 in both numerator and denominator.

$$\frac{m^{2}+9m+18}{m+3}$$

Factor the expressions that are not already factored.

$$\frac{\left(m+3\right)\left(m+6\right)}{m+3}$$

Cancel out m+3 in both numerator and denominator.

$$m+6$$