化简求值,(a-1/a+1 + 2a/a^2-1) / 1/a^2-1 化简求值,其中x=2
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化简求值,
(a-1/a+1 + 2a/a^2-1) / 1/a^2-1 化简求值,其中x=2
(a-1/a+1 + 2a/a^2-1) / 1/a^2-1 化简求值,其中x=2
![化简求值,(a-1/a+1 + 2a/a^2-1) / 1/a^2-1 化简求值,其中x=2](/uploads/image/z/17793858-66-8.jpg?t=%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%2C%28a-1%2Fa%2B1+%2B+2a%2Fa%5E2-1%29+%2F+1%2Fa%5E2-1+%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%2C%E5%85%B6%E4%B8%ADx%3D2)
2a/a^2-1=2a/(a+1)(a-1)
a-1/a+1 + 2a/a^2-1
=(a-1)^2/(a+1)(a-1)+2a/(a+1)(a-1)
=a^2+1/(a+1)(a-1)
(a-1/a+1 + 2a/a^2-1) / 1/a^2-1
=a^2+1/(a+1)(a-1)*(a+1)(a-1)
=a^2+1
a=2代入上式a^2+1=5
a-1/a+1 + 2a/a^2-1
=(a-1)^2/(a+1)(a-1)+2a/(a+1)(a-1)
=a^2+1/(a+1)(a-1)
(a-1/a+1 + 2a/a^2-1) / 1/a^2-1
=a^2+1/(a+1)(a-1)*(a+1)(a-1)
=a^2+1
a=2代入上式a^2+1=5
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