(2x^2-4x+1)+(5x+x^2-1)

less than a minute read Jun 16, 2024
(2x^2-4x+1)+(5x+x^2-1)

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.

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