Solve r-2/r^2+3r-18+r+2/r^2+3r-18

$$\frac { r - 2 } { r ^ { 2 } + 3 r - 18 } + \frac { r + 2 } { r ^ { 2 } + 3 r - 18 }$$

Evaluate

$$\frac{2r}{\left(r-3\right)\left(r+6\right)}$$

Short Solution Steps

Since \frac{r-2}{r^{2}+3r-18} and \frac{r+2}{r^{2}+3r-18} have the same denominator, add them by adding their numerators.

$$\frac{r-2+r+2}{r^{2}+3r-18}$$

Combine like terms in r-2+r+2.

$$\frac{2r}{r^{2}+3r-18}$$

Expand

$$\frac{2r}{r^{2}+3r-18}$$

Short Solution Steps

Since \frac{r-2}{r^{2}+3r-18} and \frac{r+2}{r^{2}+3r-18} have the same denominator, add them by adding their numerators.

$$\frac{r-2+r+2}{r^{2}+3r-18}$$

Combine like terms in r-2+r+2.

$$\frac{2r}{r^{2}+3r-18}$$