Question
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Ask by Page Edwards. in South Africa
Mar 08,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression is undefined when , and it simplifies to .

Solution

Step 1: Determine the values for which the expression is undefined.
The expression is
It is undefined when the denominator is zero. Set the denominator equal to zero:
Solve for :
Thus, the expression is undefined at .
Step 2: Simplify the expression.
First, factor the numerator:
The denominator can be factored as:
Now, the expression becomes:
Since (as determined in Step 1), we can cancel the common factor :
Final Answers:
  1. The expression is undefined when .
  2. The simplified expression is

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

The expression will be undefined where the denominator is equal to zero. For , solving for gives . Thus, the expression is undefined at .
To simplify the expression , first factor both the numerator and the denominator. The numerator factors to , and the denominator factors to . Canceling the common factor of results in the simplified expression for .

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