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解：
2/(x-1) ÷ (2/(x^2-1) + 1 /(x+1) )
=2/(x-1) ÷ (2/(x^2-1) + (x-1)/(x^2-1) )
=2/(x-1) ÷ ((2+x-1)/(x^2-1) )
=2/(x-1) ÷ ((x+1)/(x^2-1) )
=2/(x-1) ÷ (1/(x-1) )
=2/1=2
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如对本题有疑问可追问，Good luck!
2/(x-1) ÷ (2/(x^2-1) + 1 /(x+1) )
=2/(x-1) ÷ (2/(x^2-1) + (x-1)/(x^2-1) )
=2/(x-1) ÷ ((2+x-1)/(x^2-1) )
=2/(x-1) ÷ ((x+1)/(x^2-1) )
=2/(x-1) ÷ (1/(x-1) )
=2/1=2
为你解答，如有帮助请采纳，
如对本题有疑问可追问，Good luck!
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