Question

Find the product (6x² + 2x)(x²+4x)

Answer 1

6x⁴ + 26x³ + 8x²

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

• Terms/Coefficients
• Expand by FOIL (First Outside Inside Last)
• Exponential Rule [Multiplying]:
  `\displaystyle b^m \cdot b^n = b^(m + n)`

Explanation:

Step 1: Define

(6x² + 2x)(x² + 4x)

Step 2: Expand

1. FOIL: 6x⁴ + 24x³ + 2x³ + 8x²
2. Combine like terms: 6x⁴ + 26x³ + 8x²