计算(x³-x+1)/(x²-1)-(x²+x)/(x-1)+(2x+3)/(x+1)计算(x+2y)/(x²-y²)+(y-2x)/(y²-x²)
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计算(x³-x+1)/(x²-1)-(x²+x)/(x-1)+(2x+3)/(x+1)计算(x+2y)/(x²-y²)+(y-2x)/(y²-x²)
计算(x³-x+1)/(x²-1)-(x²+x)/(x-1)+(2x+3)/(x+1)
计算(x+2y)/(x²-y²)+(y-2x)/(y²-x²)
计算(x³-x+1)/(x²-1)-(x²+x)/(x-1)+(2x+3)/(x+1)计算(x+2y)/(x²-y²)+(y-2x)/(y²-x²)
1、原式可先直接通分,因为x^2-1=(x+1)(x-1),所以可以得到.
[(x^3-x+1)-(x^2+x)(x+1)+(2x+3)(x-1)]/(x^2-1)
在算出分子=-x-2 分数成了(-x-2)/(x^2-1)=(x+2)/(1-x^2)
2、(x+2y)/(x^2-y^2)+[(y-2x)/-(x^2-y^2)]
=[(x+2y)-(y-2x)]/(x^2-y^2)
=(3x+y)/(x^2-y^2)