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Simple solution hidden deep within

Algebra Level 4

Which of the following is equivalent to

\((x+1)(x^{2} + 1)(x^{4} + 1)(x^{8} + 1)...(x^{65536} + 1)\)?

\[x^{131072} + x^{65536} + ... + x^{2} + 1\] \[\frac{x^{131072} + 1}{x + 1}\] \[x^{131072} - 1\] \[\frac{x^{131072} - 1}{x - 1}\]

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by Sanchayapol Lewgasamsarn

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