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Simplify. Write your answer using whole numbers and variables.\newlined6d26d\frac{d - 6}{d^2 - 6d}

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Q. Simplify. Write your answer using whole numbers and variables.\newlined6d26d\frac{d - 6}{d^2 - 6d}
  1. Identify Structure: Identify the structure of the expression.\newlineThe expression is a fraction with a polynomial in the numerator and a polynomial in the denominator. We need to simplify the expression by combining like terms and reducing the fraction if possible.
  2. Combine Like Terms: Combine like terms in the denominator.\newlineThe denominator is d26dd^2 - 6d. We can't combine these terms because they are not like terms (one is d2d^2 and the other is dd). So, the denominator remains as it is.
  3. Find Common Factors: Look for common factors in the numerator and the denominator. The numerator is d6d - 6, and the denominator is d26dd^2 - 6d. We can factor out a dd from the denominator to see if it will cancel out with the numerator. d26d=d(d6)d^2 - 6d = d(d - 6)
  4. Cancel Common Factors: Cancel out common factors.\newlineWe now have a common factor of (d6)(d - 6) in both the numerator and the denominator. We can cancel this factor out.\newlined6d(d6)=1d\frac{d - 6}{d(d - 6)} = \frac{1}{d}
  5. Write Final Expression: Write the final simplified expression.\newlineAfter canceling out the common factor, we are left with 1d\frac{1}{d} as the simplified expression.