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Simplify. Write your answer using whole numbers and variables. \newlinekk2−2k\frac{k}{k^2 - 2k}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables. \newlinekk2−2k\frac{k}{k^2 - 2k}
  1. Factor out common term: Factor out the common term in the denominator. The common term in the denominator k2−2kk^2 - 2k is kk. So, we factor kk out to get k(k−2)k(k - 2).
  2. Simplify by canceling: Simplify the expression by canceling out the common kk term in the numerator and the denominator. The kk in the numerator cancels with one kk in the denominator, leaving us with 1k−2\frac{1}{k - 2}.
  3. Check for further simplifications: Check for any further simplifications. Since there are no common factors left and no like terms to combine, the expression is now in its simplest form.
  4. Write final answer: Write the final answer. The simplified expression is 1k−2\frac{1}{k - 2}.

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