Question
Perform the indicated operation. Simplify if possible.
The difference is
.
The difference is
Ask by Logan Parry. in the United States
Dec 08,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The difference is
.
Solution

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To perform the operation
, we can combine the two fractions since they have a common denominator:
Next, simplify the numerator:
Now, we can write the combined expression as:
To simplify further, we can try factoring the numerator. We look for two numbers that multiply to
and add to
. The numbers
and
fit, thus we factor:
Now substitute back into the fraction:
Since
in the numerator and denominator cancels out (as long as
):
So, the difference is
.