Simplifying Algebraic Expressions: (2x^2 - 4x + 1) + (5x + x^2 - 1)
In algebra, simplifying expressions involves combining like terms to create a more concise and manageable form. Let's break down the process of simplifying the expression: (2x^2 - 4x + 1) + (5x + x^2 - 1)
1. Identifying Like Terms:
- x² terms: 2x² and x²
- x terms: -4x and 5x
- Constant terms: 1 and -1
2. Combining Like Terms:
- x² terms: 2x² + x² = 3x²
- x terms: -4x + 5x = x
- Constant terms: 1 - 1 = 0
3. Simplified Expression:
Combining the results from step 2, we arrive at the simplified form:
3x² + x
Therefore, the simplified form of the expression (2x^2 - 4x + 1) + (5x + x^2 - 1) is 3x² + x.