Question

factorise x⁸ - 1
Answer with solution​

Answer 1

Answer:

(x-1)(x+1)(x²+1)(x⁴+2)

Step-by-step explanation:

x⁸-1

(x⁴)²-(1)²

(x⁴-1)(x⁴+1) [a²-b²= (a-b)(a+b)]

[(x²)²-1²][x⁴+1]

[x²-1][x²+1][x⁴+1]

[x²-1²][x²+1][x⁴+1]

[x-1][x+1][x²+1][x⁴+2]

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Answer 2

x⁸ - 1

= (x⁴)² - 1²

= (x⁴ + 1) (x⁴ - 1)

= (x⁴ + 1) ((x²)² - 1²)

= (x⁴ + 1) (x² + 1) (x² - 1)

= (x⁴ + 1) (x² + 1) (x + 1) (x - 1)