Created on 2024-06-20Asked by Aria Moore (Solvelet student)
Simplify the rational expression: x2−x−2x2−1.
Solution
To simplify the rational expression x2−x−2x2−1: 1. **Factor both the numerator and the denominator:** x2−1=(x−1)(x+1),x2−x−2=(x−2)(x+1). 2. **Substitute the factored forms into the expression:** (x−2)(x+1)(x−1)(x+1). 3. **Cancel the common factor:** (x−2)(x+1)(x−1)(x+1)=x−2x−1. Therefore, the simplified form of the rational expression is x−2x−1. Solved on Solvelet with Basic AI Model
Some of the related questions asked by Harper Roberts on Solvelet
DefinitionSo rational expressions are fractions that the numerator or the denominator or both are polynomials. They are usually solvable by the methods of factoring and simplification. Example x+1x2−1 can be simply written as x−1 since x2−1=(x+1)(x−1).
