Question

Use addition and subtraction to simplify (3x^2- 3x + 6 ) - (5x^2+2x + 9)

Answer 1

-2x² - 5x - 3

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

Distributive Property

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

(3x² - 3x + 6) - (5x² + 2x + 9)

Step 2: Simplify

1. [Distributive Property] Distribute negative: 3x² - 3x + 6 - 5x² - 2x - 9
2. [Subtraction] Combine like terms (x²): -2x² - 3x + 6 - 2x - 9
3. [Subtraction] Combine like terms (x): -2x² - 5x + 6 - 9
4. [Subtraction] Combine like terms (Z): -2x² - 5x - 3