(13n^2+11n-2n^4)+(-13n^2-3n-6n^4)

Jasonbradley

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Jun 16, 2024

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Simplifying Polynomial Expressions

In mathematics, simplifying polynomial expressions is a fundamental skill. Let's explore how to simplify the expression:

(13n² + 11n - 2n⁴) + (-13n² - 3n - 6n⁴)

Step 1: Remove the Parentheses

Since we are adding the two polynomials, the parentheses do not affect the signs of the terms. We can simply remove them:

13n² + 11n - 2n⁴ - 13n² - 3n - 6n⁴

Step 2: Combine Like Terms

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

• n⁴ terms: -2n⁴ - 6n⁴ = -8n⁴
• n² terms: 13n² - 13n² = 0
• n terms: 11n - 3n = 8n

Step 3: Write the Simplified Expression

Combine the simplified terms in descending order of their exponents:

-8n⁴ + 8n

Therefore, the simplified expression of (13n² + 11n - 2n⁴) + (-13n² - 3n - 6n⁴) is -8n⁴ + 8n.