Question
Divide the following rational expressions. Write the answer in lowest terms.
Ask by Mckenzie Watkins. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is
.
Solution
Calculate or simplify the expression
.
Simplify the expression by following steps:
Simplify the expression by following steps:
- step0: Solution:
- step1: Remove the parentheses:
- step2: Reduce the fraction:
- step3: Reduce fractions to a common denominator:
- step4: Multiply the numbers:
- step5: Multiply the numbers:
- step6: Transform the expression:
- step7: Multiply the terms:
- step8: Multiply the terms:
- step9: Calculate:
The sum of the given rational expressions is.
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Bonus Knowledge
To divide the rational expressions, we first set up the expression:
Now, we will factor each numerator:
Now, rewrite the expression:
Next, we simplify
:
Now rewriting our expression, we have:
Now let’s find a common denominator, which would be
:
For the first term:
So now we rewrite our expression with a common denominator:
Combining the numerators:
Thus, our answer in lowest terms is: