数学分式的混合运算1/ x+1- x+3/x²-1 × x²-2x+1/x²+4x+3(1/x-1+ 1/x+1)(x²-1)（1+ 1/x-1)÷(1+ 1/x²-1)(1/x+1- 1/1-x²)÷3x/x+1 5.(x²+1/x²-3x - x²-1/x²-2x-3)÷x+1/x 6.1 - a-b/a-2b ÷ a²-b

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数学分式的混合运算1/ x+1- x+3/x²-1 × x²-2x+1/x²+4x+3(1/x-1+ 1/x+1)(x²-1)（1+ 1/x-1)÷(1+ 1/x²-1)(1/x+1- 1/1-x²)÷3x/x+1 5.(x²+1/x²-3x - x²-1/x²-2x-3)÷x+1/x 6.1 - a-b/a-2b ÷ a²-b
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数学分式的混合运算1/ x+1- x+3/x²-1 × x²-2x+1/x²+4x+3(1/x-1+ 1/x+1)(x²-1)（1+ 1/x-1)÷(1+ 1/x²-1)(1/x+1- 1/1-x²)÷3x/x+1 5.(x²+1/x²-3x - x²-1/x²-2x-3)÷x+1/x 6.1 - a-b/a-2b ÷ a²-b
数学分式的混合运算

1/ x+1- x+3/x²-1 ×  x²-2x+1/x²+4x+3

(1/x-1+ 1/x+1)(x²-1)

（1+  1/x-1)÷(1+  1/x²-1)

(1/x+1- 1/1-x²)÷3x/x+1

  5.(x²+1/x²-3x - x²-1/x²-2x-3)÷x+1/x
  6.1 - a-b/a-2b ÷ a²-b²/a²-4ab+4b² + 3a/a+b

数学分式的混合运算1/ x+1- x+3/x²-1 × x²-2x+1/x²+4x+3(1/x-1+ 1/x+1)(x²-1)（1+ 1/x-1)÷(1+ 1/x²-1)(1/x+1- 1/1-x²)÷3x/x+1 5.(x²+1/x²-3x - x²-1/x²-2x-3)÷x+1/x 6.1 - a-b/a-2b ÷ a²-b
1、1/(x+1)-(x+3)/(x+1)(x-1)×(x-1)²/(x+3)(x+1)
=1/(x+1)-(x-1)/(x+1)²
=(x+1-x+1)/(x+1)²
=2/(x+1)²
2、1/(x-1) ×(x²-1)+1/(x+1) ×(x²-1）
=x+1+x-1
=2x
3、=(x-1+1)/(x-1)÷(x²-1+1)/(x²-1)
=x/(x-1)×(x+1)(x-1)/x²
=(x+1)/x
4、[1/(x+1)+1/(x+1)(x-1)]×(x+1)/3x
=x/(x+1)(x-1)×(x+1)/3x
=1/3(x-1)
=1/(3x-3)
5、=[(x²+1)/x(x-3) -(x+1)(x-1)/(x-3)(x+1)] ÷(x+1)/x
=[(x²+1)/x(x-3) -(x-1)/(x-3)] ÷(x+1)/x
=(x²+1-x²+x)/x(x-3)×x/(x+1)
=1/(x-3)
6.1 - a-b/a-2b ÷ a²-b²/a²-4ab+4b² + 3a/a+b =1-(a-b)/(a-2b)×(a-2b)²/(a+b)(a-b) +3a/(a+b)
=1-(a-2b)/(a+b)+3a/(a+b)
=(a+b-a+2b+3a)/(a+b)
=3

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