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若p是方程x^6-2=0的解,(p-1)×(p^12+p^13+……+p^41)是多少?
A.124 B.144 C.192 D.212 E.252
人气:314 ℃ 时间:2020-09-07 03:04:20
解答
(p-1)×(p^12+p^13+……+p^41)
=(p^13+p^13+……+p^42)-(p^12+p^13+……+p^41)
=p^42-p^12
=(p^6)^7-(p^6)^2
=2^7-2^2
=128-4
=124
选A
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