What is the simplified form of the expression ( 1 + x ) ( 1 + x 2 ) ( 1 + x 4 ) ( 1 + x 8 ) ( 1 − x ) (1 + x)(1 + x^2)(1 + x^4)(1 + x^8)(1 - x) ( 1 + ...

Question

What is the simplified form of the expression

(1+x)(1+x2)(1+x4)(1+x8)(1x)(1 + x)(1 + x^2)(1 + x^4)(1 + x^8)(1 - x)
?

Options

A.
1x401 - x^{40}
B.
1x321 - x^{32}
C.
1x161 - x^{16}
D.
1x421 - x^{42}
polynomialalgebrasimplificationidentities

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