1/a-1/b=1/a+b 则 b/a-a/b-3的值为多少
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![1/a-1/b=1/a+b 则 b/a-a/b-3的值为多少](/uploads/image/z/8801106-42-6.jpg?t=1%2Fa-1%2Fb%3D1%2Fa%2Bb+%E5%88%99+b%2Fa-a%2Fb-3%E7%9A%84%E5%80%BC%E4%B8%BA%E5%A4%9A%E5%B0%91)
1/a-1/b=1/a+b 则 b/a-a/b-3的值为多少
1/a-1/b=1/a+b 则 b/a-a/b-3的值为多少
1/a-1/b=1/a+b 则 b/a-a/b-3的值为多少
∵1/a-1/b=1/(a+b) 通分
∴(b-a)/(ab)=1/(a+b)
∴ab=(a+b)(b-a)
=-(a+b)(a-b)
=b²-a²
∴b/a-a/b-3 通分
=(b²-a²)/(ab)-3
=ab/(ab)-3
=1-3
=-2