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

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (2x^2+1)-(x^2-2x+1)

This article will guide you through the process of simplifying the expression (2x^2+1)-(x^2-2x+1).

Understanding the Process

Simplifying an algebraic expression involves combining like terms and performing operations within parentheses. Here's how we can simplify the given expression:

1. Distribute the negative sign: The minus sign before the second set of parentheses indicates that we need to multiply each term inside the parentheses by -1.

   (2x^2 + 1) -1(x^2 - 2x + 1)*

   This becomes:

   2x^2 + 1 - x^2 + 2x - 1

2. Combine like terms: Identify terms with the same variable and exponent and combine their coefficients.

   2x^2 - x^2 + 2x + 1 - 1

3. Simplify: Perform the indicated operations.

   x^2 + 2x

The Simplified Expression

Therefore, the simplified form of the expression (2x^2+1)-(x^2-2x+1) is x^2 + 2x.