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化简 x²-1分之x+3÷﹣x²+2x-1分之(x+3)(x-1)

分类: 作业答案 • 2021-12-20 07:45:14
问题描述：

化简 x²-1分之x+3÷﹣x²+2x-1分之(x+3)(x-1)

答

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

答

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

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