x+1/x*(2x/x+1)²-(1/x-1-1/x+1)
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解决时间 2021-03-01 07:28
- 提问者网友:姑娘长的好罪过
- 2021-02-28 09:41
x+1/x*(2x/x+1)²-(1/x-1-1/x+1)
最佳答案
- 五星知识达人网友:话散在刀尖上
- 2021-02-28 10:36
(x+1)/x×[2x/(x+1)]²-[1/(x-1)-1/(x+1)]
=2/(x+1)-(x+1-x+1)/(x²-1)
=2(x-1)/(x²-1)-2/(x²-1)
=2(x-2)/(x²-1)追问不对,2x的2次方追答(x+1)/x×[2x/(x+1)]²-[1/(x-1)-1/(x+1)]
=4x/(x+1)-(x+1-x+1)/(x²-1)
=4x(x-1)/(x²-1)-2/(x²-1)
=(4x²-4x-2)/(x²-1)
=2(2x²-2x-1)/(x²-1)
=2/(x+1)-(x+1-x+1)/(x²-1)
=2(x-1)/(x²-1)-2/(x²-1)
=2(x-2)/(x²-1)追问不对,2x的2次方追答(x+1)/x×[2x/(x+1)]²-[1/(x-1)-1/(x+1)]
=4x/(x+1)-(x+1-x+1)/(x²-1)
=4x(x-1)/(x²-1)-2/(x²-1)
=(4x²-4x-2)/(x²-1)
=2(2x²-2x-1)/(x²-1)
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