通分x-1/x^2+2x+1与2/x^2-1

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通分x-1/x^2+2x+1与2/x^2-1
通分x-1/x^2+2x+1与2/x^2-1

通分x-1/x^2+2x+1与2/x^2-1
x²+2x+1=(x+1)²
x²-1=(x+1)(x-1)
所以最简公分母是(x+1)²(x-1)
所以
(x-1)/(x²+2x+1)=(x-1)²/(x+1)²(x-1)
2/(x²-1)=2(x+1)/(x+1)²(x-1)

x-1/x^2+2x+1=(x-1)/(x+1)²=(x-1)²/(x+1)²(x-1)
2/x^2-1=2/(x+1)(x-1)=2(x+1)/(x+1)²(x-1)