(7^2+1)/(7^2-1)=1+1/6-1/8是怎么推导出来的
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解决时间 2021-02-24 06:09
- 提问者网友：不爱我么
- 2021-02-23 08:42
(7^2+1)/(7^2-1)=1+1/6-1/8是怎么推导出来的
最佳答案
- 五星知识达人网友：像个废品
- 2021-02-23 09:06
(7^2+1)/(7^2-1)
=(7^2+1)/[(7-1)(7+1)]
=(7^2+1)/(6*8)
=[(7+1)^2-2*7]/(6*8)
=8^2/(6*8)-(6+8)/(6*8)
=8/6-(1/8+1/6)
=1+2/6-1/8-1/6
=1+1/6-1/8
=(7^2+1)/[(7-1)(7+1)]
=(7^2+1)/(6*8)
=[(7+1)^2-2*7]/(6*8)
=8^2/(6*8)-(6+8)/(6*8)
=8/6-(1/8+1/6)
=1+2/6-1/8-1/6
=1+1/6-1/8
全部回答
- 1楼网友：渊鱼
- 2021-02-23 09:15
(7^2+1)/(7^2-1)
=(7^2-1+2)/(7^2-1)
=1+2/(7²-1)
=1+2/(6×8)
=1+（8-6）/(6×8)
=1+8/(6×8)-6/(6×8)
=1+1/6-1/8
=(7^2-1+2)/(7^2-1)
=1+2/(7²-1)
=1+2/(6×8)
=1+（8-6）/(6×8)
=1+8/(6×8)-6/(6×8)
=1+1/6-1/8
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