(1+x)(1+x^2)(1+x^4)(1+x^8)(1-x)
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=(1+x)(1-x)(1+x^2)(1+x^4)(1+x^8)
=(1-x^2)(1+x^2)(1+x^4)(1+x^8) :. [(1-x)(1+x)=(1^2-x^2)]
=(1-x^4)(1+x^4)(1+x^8)
=(1-x^8)(1+x^8)
=(1-x^16)
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