Question
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Ask by Ross Hampton. in Bolivia
Mar 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified expression is .

Solution

Calculate or simplify the expression .
Simplify the expression by following steps:
  • step0: Solution:
  • step1: Remove the parentheses:
  • step2: Factor the expression:
  • step3: Reduce fractions to a common denominator:
  • step4: Rewrite the expression:
  • step5: Transform the expression:
  • step6: Multiply the terms:
  • step7: Multiply the terms:
  • step8: Subtract the terms:
  • step9: Calculate:

    The simplified expression is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Beyond the Answer

To simplify the expression
we first need to factor the denominators.
  1. Factor the Denominators:
    For , we can look for factors using the Rational Root Theorem or by polynomial long division. By trying possible rational roots, we find is a root, which gives us
    Thus,
    For , we also find is a root, leading to
    So,
  2. Rewrite the Original Expression:
    Now we can rewrite the expression as:
  3. Finding a Common Denominator:
    The common denominator is .
  4. Rewrite each fraction to have this common denominator:
  5. Combine the Numerators:
  6. Simplify the Numerator:
    Expanding the first term:
    Expanding the second term:
    Now combine:
  7. Final Expression:
    We now have
    Factoring from the numerator:
Thus, the simplified form of the expression is:

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