(4x^2-2x+8)+(x^2+3x-2)

Jasonbradley

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Jun 16, 2024

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Simplifying Polynomial Expressions: (4x^2-2x+8)+(x^2+3x-2)

In algebra, simplifying polynomial expressions is a fundamental skill. This process involves combining like terms to express the expression in its most concise form. Let's take a look at how to simplify the expression (4x^2-2x+8)+(x^2+3x-2).

Understanding the Process

1. Identify Like Terms: Like terms are terms that have the same variable and exponent. In our expression, we have:

   • x² terms: 4x² and x²
   • x terms: -2x and 3x
   • Constant terms: 8 and -2

2. Combine Like Terms: We simply add the coefficients of the like terms.

   • x² terms: 4x² + x² = 5x²
   • x terms: -2x + 3x = x
   • Constant terms: 8 - 2 = 6

3. Write the Simplified Expression: Now, we combine the simplified terms to get the final answer: 5x² + x + 6

The Result

Therefore, the simplified form of the expression (4x^2-2x+8)+(x^2+3x-2) is 5x² + x + 6.