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Simplify. Write your answer using whole numbers and variables.\newlinen10n210n\frac{n - 10}{n^2 - 10n}

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Q. Simplify. Write your answer using whole numbers and variables.\newlinen10n210n\frac{n - 10}{n^2 - 10n}
  1. Identify expression: Identify the expression to be simplified.\newlineThe expression given is n10n210nn - \frac{10}{n^2} - 10n. We need to simplify this expression by combining like terms if possible.
  2. Rewrite for clarity: Rewrite the expression to clarify the terms.\newlineThe expression can be confusing as written. To avoid any mistakes, let's rewrite it with clear separation of terms:\newlinen10n210nn - \frac{10}{n^2} - 10n
  3. Combine like terms: Combine like terms.\newlineIn the expression n(10/n2)10nn - (10/n^2) - 10n, the terms nn and 10n-10n are like terms and can be combined. The term (10/n2)- (10/n^2) does not have any like terms, so it remains as is.\newlinen10n=9nn - 10n = -9n\newlineSo the expression becomes:\newline9n(10/n2)-9n - (10/n^2)
  4. Check for simplification: Check for any further simplification.\newlineThe expression 9n(10n2)-9n - (\frac{10}{n^2}) cannot be simplified any further because the terms are not like terms (one is a linear term in nn, and the other is a term with nn in the denominator).

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