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(2x^2-6x-2)+(x^2+4x)+(3x^2+x+5)

2 min read Jun 16, 2024
(2x^2-6x-2)+(x^2+4x)+(3x^2+x+5)

Simplifying Polynomial Expressions

In mathematics, a polynomial expression is an expression that consists of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. A key skill in algebra is simplifying these expressions. Let's explore how to simplify the following expression:

(2x² - 6x - 2) + (x² + 4x) + (3x² + x + 5)

1. Identify Like Terms

The first step is to identify like terms. Like terms are terms that have the same variable and exponent. In our expression, we have:

  • x² terms: 2x², x², 3x²
  • x terms: -6x, 4x, x
  • Constant terms: -2, 5

2. Combine Like Terms

Now, we combine the coefficients of the like terms:

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

3. Write the Simplified Expression

Finally, we combine the simplified terms to get the simplified expression:

6x² - x + 3

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

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