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Simplify. Write your answer using whole numbers and variables.\newliner2−5rr−5\frac{r^2 - 5r}{r - 5}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newliner2−5rr−5\frac{r^2 - 5r}{r - 5}
  1. Recognize Fraction: First, we need to recognize that the expression r2−5r/r−5r^2 - 5r/r - 5 is a fraction where the numerator is r2−5rr^2 - 5r and the denominator is r−5r - 5. We should look for common factors in the numerator and the denominator that can be simplified.
  2. Factor Out Numerator: We factor out the common term rr from the numerator.\newliner2−5r=r(r−5)r^2 - 5r = r(r - 5)
  3. Rewrite with Factored Numerator: Now we rewrite the original expression with the factored numerator. r(r−5)r−5\frac{r(r - 5)}{r - 5}
  4. Simplify by Canceling: We observe that (r−5)(r - 5) is a common factor in both the numerator and the denominator. We can simplify the expression by canceling out the common factor.r(r−5)r−5=r\frac{r(r - 5)}{r - 5} = r
  5. Final Answer: We have simplified the expression to just rr, which is the final answer.

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