Question

Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)

Answer 1

64n⁴ - 9n¹⁴

General Formulas and Concepts:

Algebra I

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

Explanation:

Step 1: Define

(8n² + 3n⁷)(8n² - 3n⁷)

Step 2: Expand

1. FOIL: 64n⁴ - 24n⁹ + 24n⁹ - 9n¹⁴
2. Combine like terms: 64n⁴ - 9n¹⁴