初二分式化简(X分之x+1 +1)除以(1-3X平方/1-x平方)乘1/x-1

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初二分式化简
(X分之x+1 +1)除以(1-3X平方/1-x平方)乘1/x-1

[(x+1)/x+1]÷[1-3x²/(1-x²)]×1/(x-1)
=(x+1+x)/x÷[(1-x²-3x²)/(1-x²)]×1/(x-1)
=(2x+1)/x×(x+1)(x-1)/(2x+1)(2x-1)×1/(x-1)
=(x+1)/x(2x-1)
=(x+1)/(2x²-1)