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Simplify. Write your answer using whole numbers and variables.\newlinez8z28z\frac{z - 8}{z^2 - 8z}

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Q. Simplify. Write your answer using whole numbers and variables.\newlinez8z28z\frac{z - 8}{z^2 - 8z}
  1. Identify Expression: Identify the expression to be simplified.\newlineThe expression given is z8z28zz - \frac{8}{z^2} - 8z. We need to simplify this expression by combining like terms if possible.
  2. Rewrite Expression: Rewrite the expression to clarify the terms.\newlineThe expression can be confusing as written. To clarify, we should consider the expression as z(8z2)8zz - (\frac{8}{z^2}) - 8z. This shows that we have a term with zz, a term with 1z2\frac{1}{z^2}, and another term with zz.
  3. Combine Like Terms: Combine like terms.\newlineIn the expression z8z28zz - \frac{8}{z^2} - 8z, we can combine the terms with zz, which are zz and 8z-8z.\newlinez8z=7zz - 8z = -7z\newlineSo now the expression is 7z8z2-7z - \frac{8}{z^2}.
  4. Check for Simplifications: Check for any further simplifications. The terms 7z-7z and 8z2-\frac{8}{z^2} are not like terms and cannot be combined further. Therefore, the expression is already in its simplest form.
  5. Write Final Expression: Write the final simplified expression.\newlineThe simplified expression is 7z8z2.-7z - \frac{8}{z^2}.

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