化简:(a + 1)(a^2 + 1)(a^4 + 1)````(a^2000 + 1)

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化简:(a + 1)(a^2 + 1)(a^4 + 1)````(a^2000 + 1)
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化简:(a + 1)(a^2 + 1)(a^4 + 1)````(a^2000 + 1)
化简:(a + 1)(a^2 + 1)(a^4 + 1)````(a^2000 + 1)

化简:(a + 1)(a^2 + 1)(a^4 + 1)````(a^2000 + 1)
原式=(a-1)(a+1)(a^2+1)(a^4+1).(a^2000+1)/(a-1)
=(a^2-1)(a^2+1)(a^4+1).(a^2000+1)/(a-1)
=(a^4-1)(a^4+1).(a^2000+1)/(a-1)
=(a^40000-1)/(a-1)