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Question

Find the continued product:
(x1)(x+1)(x2+1)(x4+1)

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Solution

Wee have
(x1)(x+1)(x2+1)(x4+1)
={(x1)(x+1)}(x2+1)(x4+1)
=(x21)(x2+1)(x4+1)
={(x2)212}(x4+1)
=(x41)(x4+1)
={(4)212}
=x81

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