Упростите выражение:
[tex] \frac{1}{1-x} + \frac{1}{1+x} + \frac{2}{1+x^2} + \frac{4}{1+x^4} + \frac{8}{1+x^8} + \frac{16}{1+ x^{16} } [/tex]

Варианты ответов: A) [tex] \frac{16}{ 1-x^{32} } B) \frac{16}{ x^{32} -1} C) \frac{32}{1- x^{32} } D) \frac{32}{x^{32}-1} [/tex]
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