Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified result 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: Divide the terms:
- step3: Divide the terms:
- step4: Multiply by the reciprocal:
- step5: Multiply the terms:
- step6: Calculate:
The result of dividing the given expressions is.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg


Extra Insights
To simplify the expression, we will first rewrite the division as multiplication by the reciprocal and then factor the polynomials involved.
-
Start with the original expression:This can be rewritten as:
-
Next, we will factor each polynomial:
- For
, we look for two numbers that multiply to and add to . These numbers are and . Thus:
- For
, we need two numbers that multiply to and add to . They are and . Thus:
- For
, we look for two numbers that multiply to and add to . They are and . Thus:
- For
, we look for two numbers that multiply to and add to . They are and . Thus:
- For
-
Now we can rewrite the entire expression with the factored forms:
-
Next, we can cancel out any common factors:
-
in the numerator and denominator. -
in the numerator and denominator.
-
This simplifies our expression to:
- Thus, the final answer is:
Now, the expression is simplified completely.