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18 June, 13:21
Factor the polynomial x^8-6561
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Konner Franco
18 June, 14:09
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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)
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