Question
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:
-
is a difference of squares: -
can be factored by taking out a common factor of : -
For
, we look for two numbers that multiply to and add to . These numbers are and : -
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: