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Simplify. Write your answer using whole numbers and variables.\newlinem6m26m\frac{m - 6}{m^2 - 6m}

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Q. Simplify. Write your answer using whole numbers and variables.\newlinem6m26m\frac{m - 6}{m^2 - 6m}
  1. Write Expression: Write down the expression to be simplified.\newlineThe expression given is m6m26m.m - \frac{6}{m^2 - 6m}.
  2. Identify Terms: Identify like terms and common factors.\newlineIn the expression m6m26mm - \frac{6}{m^2} - 6m, there are no like terms to combine directly. However, we can factor out an mm from the terms mm and 6m-6m.
  3. Factor Out mm: Factor out mm from the terms mm and 6m-6m. We can write m6m26mm - \frac{6}{m^2} - 6m as m(16m2)6mm(1 - \frac{6}{m^2}) - 6m.
  4. Simplify Inside Parentheses: Simplify the expression inside the parentheses.\newlineThe term 6m2-\frac{6}{m^2} can be simplified by multiplying the numerator and denominator by m2m^2, which gives us 6m2m2\frac{-6m^2}{m^2}.
  5. Perform Division: Perform the division inside the parentheses.\newlineSince 6m2/m2-6m^2/m^2 simplifies to 6-6, we can rewrite the expression as m(16)6mm(1 - 6) - 6m.
  6. Simplify Inside Parentheses: Simplify the expression inside the parentheses. 16=51 - 6 = -5, so the expression becomes m(5)6mm(-5) - 6m.
  7. Distribute mm: Distribute the mm across the parentheses. Multiplying mm by 5-5 gives us 5m-5m, so the expression is now 5m6m-5m - 6m.
  8. Combine Like Terms: Combine like terms.\newline5m6m-5m - 6m combines to 11m-11m.