Simplify using formula (1-x)(1+x)(1+x^2)(1+x^4)(1+x^8)
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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^4)(1+x^4)(1+x^8)
= (1-x^8)(1+x^8) = 1-x^16
I've used the algebraic property
a^2-b^2 = (a-b)(a+b)
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