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Simplify. Write your answer using whole numbers and variables.\newlinem−10m2−10m\frac{m - 10}{m^2 - 10m}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinem−10m2−10m\frac{m - 10}{m^2 - 10m}
  1. Factor out common factor: Factor out the greatest common factor in the denominator.\newlineThe greatest common factor in the denominator m2−10mm^2 - 10m is mm. We factor mm out of each term.\newlinem2−10m=m(m−10)m^2 - 10m = m(m - 10)
  2. Rewrite with factored denominator: Rewrite the original expression with the factored denominator. (m−10)/(m2−10m)(m - 10)/(m^2 - 10m) becomes (m−10)/(m(m−10))(m - 10)/(m(m - 10))
  3. Cancel common terms: Cancel out the common terms in the numerator and the denominator.\newlineThe term (m−10)(m - 10) is present in both the numerator and the denominator, so we can cancel it out.\newline(m−10)/(m(m−10))(m - 10)/(m(m - 10)) becomes 1/m1/m
  4. Write final expression: Write the final simplified expression.\newlineThe simplified expression is 1m\frac{1}{m}.

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