Question

Find the difference.

(3x3−2x2+4x−8)−(5x3+12x2−3x−4)=

Answer 1

-2x³ - 14x² + 7x - 4

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

Identify

(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)

Step 2: Simplify

1. [Distributive Property] Distribute negative: 3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4
2. Combine like terms (x³): -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4
3. Combine like terms (x²): -2x³ - 14x² + 4x - 8 + 3x + 4
4. Combine like terms (x): -2x³ - 14x² + 7x - 8 + 4
5. Combine like terms: -2x³ - 14x² + 7x - 4