Question

Subtract 8x2 + 3xy + 4y2 from 12x2 + 3xy - 5y2.

Your answer should be a polynomial in standard form.

Answer 1

4x² - 9y²

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Terms/Coefficients/Degrees

Explanation:

Step 1: Define

Set up expression

12x² + 3xy - 5y² - (8x² + 3xy + 4y²)

Step 2: Simplify

1. Distributive negative: 12x² + 3xy - 5y² - 8x² - 3xy - 4y²
2. Combine like terms (x²): 4x² + 3xy - 5y² - 3xy - 4y²
3. Combine like terms (xy): 4x² - 5y² - 4y²
4. Combine like terms (y²): 4x² - 9y²