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Rewrite as equivalent rational expressions with denominator (4d−1)(d−5)(d−8) :44d2−21d+5,5d4d2−33d+8

Question

Rewrite as equivalent rational expressions with denominator (4d1)(d5)(d8)(4d−1)(d−5)(d−8) :

44d221d+5,5d4d233d+8 44d^2−21d+5, \quad 5d^4 d^2−33d+8

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Solution

To rewrite the given expressions with the denominator (4d−1)(d−5)(d−8), we need to divide each expression by the given denominator.

  1. For the first expression 44d^2 - 21d + 5:

    (44d^2 - 21d + 5) / (4d−1)(d−5)(d−8)

This is the equivalent rational expression for the first expression with the given denominator.

  1. For the second expression 5d^4 - 33d + 8:

    (5d^4 - 33d + 8) / (4d−1)(d−5)(d−8)

This is the equivalent rational expression for the second expression with the given denominator.

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