Math, asked by behrozedaruwalla, 3 days ago

Factorise x^8 - 1 . Show full working and follow factorisation rules.

Answers

Answered by abhirajsharma2

1

Answer:

(x⁴+1)(x² + 1²)(x + 1)(x -1)

Step-by-step explanation:

Given, x^8 - 1

(x⁴)² - (1⁴)²

(x⁴+1)(x⁴-1)

(x⁴+1)((x²)² - (1²)²)

(x⁴+1)((x² + 1²)(x² - 1²))

(x⁴+1)((x² + 1²)((x + 1)(x -1)))

(x⁴+1)(x² + 1²)(x + 1)(x -1)

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