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Question 4
Simplify

Ask by Best Alexander. in South Africa
Mar 19,2025

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The simplified form is .

Solución

Calculate or simplify the expression .
Simplify the expression by following steps:
  • step0: Solution:
  • step1: Remove the parentheses:
  • step2: Factor the expression:
  • step3: Reduce the fraction:

    The simplified form of is .

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Bonus Knowledge

To simplify the expression , we can start by factoring the numerator. The quadratic can be factored into . Thus, we rewrite the expression as:
At this point, since there are no common factors between the numerator and the denominator, this is the simplified form. However, for a complete picture, the original polynomial division might give us additional insights like identifying rational roots.
If one performs synthetic division or polynomial long division, it could reveal a full quotient and remainder, providing clearer understanding of the expression’s behavior at different x-values, especially at boundaries or intercepts.

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