Question

(7x2 + 8x – 4) – (6x2 + 8x – 6)

Answer 1

x ² + 2

Explanation:

7 x² + 8 x - 4 - 6 x² + 8 x - 6

combine like terms

7 x² - 6 x² + 8 x - 8 x - 4 + 6

x² - 4 + 6

x ² + 2

Answer 2

x² + 2

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

Identify

(7x² + 8x - 4) - (6x² + 8x - 6)

Step 2: Simplify

1. [Distributive Property] Distribute negative: 7x² + 8x - 4 - 6x² - 8x + 6
2. [Subtraction] Combine like terms (x²): x² + 8x - 4 - 8x + 6
3. [Subtraction] Combine like terms (x): x² - 4 + 6
4. [Addition] Combine like terms: x² + 2