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Special quotients Calculator

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Example
Created on 2024-06-20Asked by Jacob Hill (Solvelet student)
Simplify the following special quotient: x24x2\frac{x^2 - 4}{x - 2}.

Solution

To simplify the special quotient x24x2\frac{x^2 - 4}{x - 2}: 1. **Factor the numerator:** x24=(x+2)(x2). x^2 - 4 = (x + 2)(x - 2). 2. **Rewrite the quotient:** (x+2)(x2)x2. \frac{(x + 2)(x - 2)}{x - 2}. 3. **Cancel the common factor:** x+2(for x2). x + 2 \quad (\text{for } x \neq 2). 4. **Result:** The simplified form of the quotient is x+2x + 2. Solved on Solvelet with Basic AI Model
Some of the related questions asked by Owen Wright on Solvelet
1. Simplify the fraction x24x+2\frac{x^2 - 4}{x + 2}.2. Find the value of the expression x+2x3 \frac{x + 2}{x - 3} at x=3 x = 3 .,
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)
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