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(x^2-4)+(x^2+4)+16

2 min read Jun 17, 2024
(x^2-4)+(x^2+4)+16

Simplifying the Expression: (x² - 4) + (x² + 4) + 16

This article will guide you through the process of simplifying the expression (x² - 4) + (x² + 4) + 16.

Understanding the Expression

The expression consists of three terms:

  1. (x² - 4): This is a binomial, meaning it has two terms.
  2. (x² + 4): Another binomial.
  3. 16: A constant term.

Simplifying the Expression

To simplify the expression, we follow the order of operations (PEMDAS/BODMAS) and combine like terms:

  1. Remove the parentheses: Since we are adding, the parentheses don't affect the order of operations. We can simply write: x² - 4 + x² + 4 + 16

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

    • x² terms: x² + x² = 2x²
    • Constant terms: -4 + 4 + 16 = 16

  3. Combine the results: 2x² + 16

The Simplified Expression

The simplified form of the expression (x² - 4) + (x² + 4) + 16 is 2x² + 16.

Note: This simplified expression can be further factored if needed.

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