Simplify by removing factors of 1 . $$ \frac{r^{2}-81}{r^{2}-18 r+81} $$

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Calculate or simplify the expression $$ \frac{r^{2}-81}{r^{2}-18r+81} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{r^{2}-81}{r^{2}-18r+81}$$
- step1: Factor the expression:
  $$\frac{\left(r-9\right)\left(r+9\right)}{\left(r-9\right)^{2}}$$
- step2: Reduce the fraction:
  $$\frac{r+9}{r-9}$$
The simplified form of the expression $$\frac{r^{2}-81}{r^{2}-18r+81}$$ is $$\frac{r+9}{r-9}$$.
The simplified form is $$ \frac{r+9}{r-9} $$.

Simplify by removing factors of 1 .

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