Question

Multiplying polynomials: simplify
(4a+2)(6a^2-a+2)

Answer 1

24a³ - 16a² + 6a + 4

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
• Expanding by FOIL (First Outside Inside Last)

Explanation:

Step 1: Define

(4a + 2)(6a² - a + 2)

Step 2: Expand

1. Expand: 24a³ - 4a² + 8a - 12a² - 2a + 4
2. Combine like terms (a²): 24a³ - 16a² + 8a - 2a + 4
3. Combine like terms (a): 24a³ - 16a² + 6a + 4