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Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – 1
Solution
We have,
x4 – 1 = (x2)2 – 1
= (x2 + 1)(x2 – 1)
= (x2 + 1)(x + 1)(x – 1)
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