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Simplify. Write your answer using whole numbers and variables.\newlined−4d2−4d\frac{d - 4}{d^2 - 4d}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlined−4d2−4d\frac{d - 4}{d^2 - 4d}
  1. Factor Numerator and Denominator: Factor the numerator and the denominator.\newlineThe numerator is already simplified as d−4d - 4. \newlineThe denominator can be factored by taking out the common factor dd.\newlined2−4d=d(d−4)d^2 - 4d = d(d - 4)
  2. Simplify by Canceling Common Factors: Simplify the expression by canceling out the common factors. The common factor (d−4)(d - 4) in the numerator and the denominator can be canceled out. d−4d(d−4)=1d\frac{d - 4}{d(d - 4)} = \frac{1}{d}
  3. Write Final Expression: Write the final simplified expression.\newlineThe simplified expression is 1/d1 / d.

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