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

Sagot :

Space

Answer:

64n⁴ - 9n¹⁴

General Formulas and Concepts:

Algebra I

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

Step-by-step explanation:

Step 1: Define

(8n² + 3n⁷)(8n² - 3n⁷)

Step 2: Expand

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