Question

factors of the...x^4-1 ​

Answer 1

Answer:

+1,-1,+1,-1

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Answer 2

Answer:

( x - 1 ) ( x + 1 ) ( x² + 1 )

Step-by-step explanation:

x⁴ - 1

= ( x² )² - 1²

Formula : -

a² - b² = ( a + b ) ( a - b )

Here,

a = x²

b = 1

( x² )² - 1²

= ( x² - 1 ) ( x² + 1 )

x² - 1

Formula : -

a² - b² = ( a + b ) ( a - b )

Here,

a = x

b = 1

x² - 1 = ( x - 1 ) ( x + 1 )

Therefore,

( x² - 1 ) ( x² + 1 ) = ( x - 1 ) ( x + 1 ) ( x² + 1 )