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Simplify. Write your answer using whole numbers and variables.\newline5d2−8d5d−8\frac{5d^2 - 8d}{5d - 8}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline5d2−8d5d−8\frac{5d^2 - 8d}{5d - 8}
  1. Identify and Simplify: Identify like terms and simplify the expression.\newlineThe expression given is 5d2−8d5d−85d^2 - \frac{8d}{5d} - 8. We need to simplify the numerator and the denominator separately before we can simplify the fraction as a whole.
  2. Simplify Numerator: Simplify the numerator.\newlineThe numerator is 5d2−8d5d^2 - 8d. Since both terms contain the variable dd, we can factor out dd from both terms.\newline5d2−8d=d(5d−8)5d^2 - 8d = d(5d - 8)
  3. Simplify Denominator: Simplify the denominator.\newlineThe denominator is 5d−85d - 8. There is no common factor to take out, and it is already simplified.
  4. Final Fraction Simplification: Simplify the fraction.\newlineNow we have the fraction d(5d−8)5d−8\frac{d(5d - 8)}{5d - 8}. Since the terms (5d−8)(5d - 8) are the same in the numerator and the denominator, they can be canceled out, leaving us with just dd.\newlined(5d−8)5d−8=d\frac{d(5d - 8)}{5d - 8} = d

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