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Question

Factorise: x4-1


A

(x2+1) (x +1)(x+1)

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B

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

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C

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

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D

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

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Solution

The correct option is C

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


By using square identity (a + b) (a – b) = a2 – b2 , we get

x4-1 = (x2+1) (x2-1)

= (x2+1)(x-1)(x+1) [Since, (a + b) (a – b) = a2 – b2]


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