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Simplify. Write your answer using whole numbers and variables.\newlinek2+9kk+9\frac{k^2 + 9k}{k + 9}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinek2+9kk+9\frac{k^2 + 9k}{k + 9}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineThe expression is (k2+9k)/(k+9)(k^2 + 9k) / (k + 9).\newlineWe need to check if there are common factors in the numerator and the denominator that can be simplified.
  2. Factor Numerator: Factor the numerator if possible.\newlineThe numerator is k2+9kk^2 + 9k. We can factor out a kk from the numerator.\newlinek2+9k=k(k+9)k^2 + 9k = k(k + 9)
  3. Rewrite Expression: Rewrite the expression with the factored numerator.\newlineNow the expression looks like this:\newlinek(k+9)k+9\frac{k(k + 9)}{k + 9}
  4. Simplify by Canceling: Simplify the expression by canceling out the common factor. The (k+9)(k + 9) in the numerator and the denominator cancel each other out because they are the same. This leaves us with kk.
  5. Write Final Expression: Write the final simplified expression.\newlineThe simplified expression is kk.

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