Answer:
Step-by-step explanation:
x⁸ - 6561 = x⁸- 3⁸ = (x⁴)² - (3⁴)²
= (x⁴ + 3⁴) (x⁴ - 3⁴) {a² - b² = (a+b)(a-b); here a =x⁴ and b= 3⁴ }
= (x⁴ + 3⁴) ( [x²]² - [3²]²) {here a =x² and b = 3²}
= (x⁴ + 3⁴) (x² + 3²) (x²- 3²)
= (x⁴ + 81) (x² + 9) (x + 3) (x-3)
