Question
Complex fraction made of sums involving rational expressions: Problem…
Simplify.
Simplify.
Ask by Stewart Wood. in the United States
Jan 05,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form of the complex fraction is
.
Solution

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First, let’s tackle the numerator:
. To combine these fractions, we find a common denominator, which is
. This gives us:
Now, for the denominator:
. The common denominator here is also
. Therefore, we have:
Now, substituting the results back into the complex fraction:
This simplifies to:
Now, we can factor both the numerator and the denominator. The numerator factors to
and the denominator factors to
. Therefore, cancelling the common factor of 4, we get:
Thus, the simplified form of the complex fraction is: