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Simplify. Write your answer using whole numbers and variables.\newlinew−8w2−8w\frac{w - 8}{w^2 - 8w}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinew−8w2−8w\frac{w - 8}{w^2 - 8w}
  1. Factor out common term: Factor out the common term in the denominator.\newlineThe denominator w2−8ww^2 - 8w can be factored by taking out the common factor ww.\newlinew2−8w=w(w−8)w^2 - 8w = w(w - 8)
  2. Simplify by canceling: Simplify the expression by canceling out the common factor.\newlineThe numerator (w−8)(w - 8) and the common factor (w−8)(w - 8) in the denominator can be canceled out.\newlinew−8w(w−8)=1w\frac{w - 8}{w(w - 8)} = \frac{1}{w}
  3. Write final expression: Write the final simplified expression.\newlineThe expression is now simplified to 1w\frac{1}{w}.

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