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Question
Find the G.C.D of the following:
x4 – 1, x2 – 1
Sum
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Solution
x4 – 1 = (x2)2 – 1
= (x2 + 1)(x2 – 1)
= (x2 + 1)(x + 1)(x – 1)
x2 – 1 = (x + 1)(x – 1)
G.C.D = (x + 1)(x – 1)
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