-2a%2F1-a2.jpeg "(a-1/a+1-a+1/a-1) 2a/1-a2")
Simplifying the Expression: (a - 1/a + 1 - a + 1/a - 1) * 2a / (1 - a^2)
Let's break down the simplification of this algebraic expression step by step.
1. Combining Like Terms
- Numerator: The numerator has several terms that can be combined:
- (a - a) = 0
- (-1/a + 1/a) = 0
- (1 - 1) = 0
This leaves us with a simplified numerator of 0.
- Denominator: The denominator is already in its simplest form: (1 - a^2)
2. Simplifying the Expression
Since the numerator is 0, the entire expression becomes:
0 / (1 - a^2) = 0
Conclusion
Therefore, the simplified form of the expression (a - 1/a + 1 - a + 1/a - 1) * 2a / (1 - a^2) is 0.