Created on 2024-06-20Asked by Jacob Hill (Solvelet student)
Simplify the following special quotient: x−2x2−4.
Solution
To simplify the special quotient x−2x2−4: 1. **Factor the numerator:** x2−4=(x+2)(x−2). 2. **Rewrite the quotient:** x−2(x+2)(x−2). 3. **Cancel the common factor:** x+2(for x=2). 4. **Result:** The simplified form of the quotient is x+2. Solved on Solvelet with Basic AI Model
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DefinitionSpecial quotients can be calming as they involve common factoring patterns that make divison seem less intimidating- i.e. division by binomials or a difference of squares. Example: Simplify a−ba2−b2. It will be, and the unique quotient is a+b, as a2−b2=(a−b) (a+b)