Question

When 3x2 - 8x is subtracted from 2x2 + 3x, the difference is

Answer 1

x² - 11x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Distributive Property
• Terms/Coefficients

Explanation:

Step 1: Define

Identify.

3x² - 8x - (2x² + 3x)

Step 2: Simplify

1. [Distributive Property] Distribute negative: 3x² - 8x - (2x² + 3x) = 3x² - 8x - 2x² - 3x
2. Combine like terms (x²): 3x² - 8x - (2x² + 3x) = x² - 8x - 3x
3. Combine like terms (x): 3x² - 8x - (2x² + 3x) = x² - 11x