(a+1)(a^2+1)(a^4+1)……(a^1024+1)

cyy艳2022-10-04 11:39:541条回答

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竹溪 共回答了18个问题 | 采纳率100%
(a+1)(a^2+1)(a^4+1)……(a^1024+1)
=(a-1)(a+1)(a^2+1)(a^4+1)……(a^1024+1)/(a-1)
=(a^2-1)(a^2+1)(a^4+1)……(a^1024+1)/(a-1)
=.
=(a^2048-1)/(a-1)
1年前

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(a+1)(a--1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=(a^2--1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=(a^4--1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=(a^8--1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=.
=(a^1024--1)(a^1024+1)
=(a^2048--1).
(a+1)(a^2+1)(a^4+1)…(a^1024+1),a不=1
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=(a-1)(a+1)(a^2+1)(a^4+1)……(a^1024+1)/(a-1)
=(a^2-1)(a^2+1)(a^4+1)……(a^1024+1)/(a-1)
=(a^4-1)(a^4+1)……(a^1024+1)/(a-1)
……
……
=(a^2048-1)/(a-1)
(a+1)(a^2+1)(a^4+1)`````(a^1024+1),其中a不等于0
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(a+1)(a^2+1)(a^4+1)`````(a^1024+1)
=(a+1)(a^2+1)(a^4+1)`````(a^1024+1)(a-1)/(a-1)
=(a^2-1)(a^2+1)(a^4+1)`````(a^1024+1)/(a-1)
=(a^4-1)(a^4+1)`````(a^1024+1)/(a-1)
=(a^8-1)`````(a^1024+1)/(a-1)
=(a^1024-1)`````(a^1024+1)/(a-1)
=(a^2048-1)/(a-1)