(6x+4x^4-3x^2)+(7x^4+5x^2+8x)

Jasonbradley

less than a minute read

·

Jun 16, 2024

29

Share

Simplifying Polynomial Expressions

In mathematics, simplifying polynomial expressions involves combining like terms to make the expression easier to understand and work with. Let's look at an example:

(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

1. Identify Like Terms:

• x⁴ terms: 4x⁴ and 7x⁴
• x² terms: -3x² and 5x²
• x terms: 6x and 8x

2. Combine Like Terms:

• x⁴ terms: 4x⁴ + 7x⁴ = 11x⁴
• x² terms: -3x² + 5x² = 2x²
• x terms: 6x + 8x = 14x

3. Write the Simplified Expression:

By combining the like terms, we get the simplified expression:

11x⁴ + 2x² + 14x

Therefore, the simplified form of (6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x) is 11x⁴ + 2x² + 14x.