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Simplify. Write your answer using whole numbers and variables.\newliner−9r2−9r\frac{r - 9}{r^2 - 9r}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newliner−9r2−9r\frac{r - 9}{r^2 - 9r}
  1. Factor Denominator: Factor the denominator r2−9rr^2 - 9r. To factor the denominator, we look for a common factor in both terms. The common factor is rr. r2−9r=r(r−9)r^2 - 9r = r(r - 9)
  2. Rewrite Expression: Rewrite the expression with the factored denominator.\newlineThe original expression is r−9r2−9rr - \frac{9}{r^2 - 9r}. With the factored denominator, it becomes:\newliner−9r(r−9)r - \frac{9}{r(r - 9)}
  3. Simplify Expression: Simplify the expression by canceling out common factors.\newlineWe notice that there is no common factor between the numerator and the denominator that can be canceled out. Therefore, the expression is already in its simplest form.

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