x 4 - 1 in the form of factors is : 1. (x + 1)(x - 1)(x 2 - 1) 2. (x - 1)(x + 1)(x 2 + 1) 3. (x - 1)(x - 2)(x 2 + 2) 4. (x + 1)(x + 2)(x 2 - 1)

Given, x 4 - 1 = (x 2 ) 2 - 1 2 = (x 2 - 1)(x 2 + 1) = (x - 1)(x + 1)(x 2 + 1). Hence, Option 2 is the correct option.

Mathematics

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Given,

x⁴ - 1

= (x²)² - 1²

= (x² - 1)(x² + 1)

= (x - 1)(x + 1)(x² + 1).

Hence, Option 2 is the correct option.

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