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Divide. Write the answer in simplified form.

Ask by Fernandez Wilson. in the United States
Dec 03,2024

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To solve the expression , we first rewrite the division as multiplication by the reciprocal:
Next, we factor each polynomial where possible:
  1. is a difference of squares:
  2. can be factored by taking out a common factor of :
  3. For , we look for two numbers that multiply to and add to . These numbers are and :
  4. For , we factor it by finding two numbers that multiply to and add to . These numbers are and :
Now substituting the factored forms back into the expression:
Now we can cancel out the common factors:
  • The in the numerator and denominator cancels.
  • The in the numerator and denominator cancels.
  • The in the numerator and denominator cancels.
This leaves us with:
Thus, the expression simplifies to:
So the final answer in simplified form is:

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