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Simplify. Write your answer using whole numbers and variables.\newlinek2−4kk−4\frac{k^2 - 4k}{k - 4}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinek2−4kk−4\frac{k^2 - 4k}{k - 4}
  1. Factorize numerator: Factor the numerator if possible.\newlineThe numerator is a quadratic expression, and we should check if it can be factored. The expression k2−4kk^2 - 4k can be factored by taking out the common factor kk.\newlinek2−4k=k(k−4)k^2 - 4k = k(k - 4)
  2. Cancel common factors: Simplify the expression by canceling out common factors.\newlineWe have the expression (k(k−4))/(k−4)(k(k - 4))/(k - 4). Since k−4k - 4 is a common factor in the numerator and the denominator, we can cancel it out, provided that kk is not equal to 44 (as division by zero is undefined).\newline(k(k−4))/(k−4)=k(k(k - 4))/(k - 4) = k, for k≠4k \neq 4
  3. Write final expression: Write the final simplified expression.\newlineThe simplified expression is kk, with the restriction that kk cannot be equal to 44.

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