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Simplify. Write your answer using whole numbers and variables.\newlined2−8dd−8\frac{d^2 - 8d}{d - 8}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlined2−8dd−8\frac{d^2 - 8d}{d - 8}
  1. Identify expression: Identify the expression to be simplified.\newlineWe have the expression (d2−8d)/(d−8)(d^2 - 8d) / (d - 8). We need to simplify this expression by factoring if possible.
  2. Factor numerator: Factor the numerator.\newlineThe numerator is d2−8dd^2 - 8d. We can factor out a common factor of dd from the terms in the numerator.\newlined2−8d=d(d−8)d^2 - 8d = d(d - 8)
  3. Simplify expression: Simplify the expression.\newlineNow we have d(d−8)/(d−8)d(d - 8) / (d - 8). We can see that (d−8)(d - 8) is a common factor in both the numerator and the denominator.\newline(d(d−8))/(d−8)=d(d(d - 8)) / (d - 8) = d, assuming d≠8d \neq 8 (since division by zero is undefined).

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