化简 x²-1分之x+3÷﹣x²+2x-1分之(x+3)(x-1)_数学解答

化简 x²-1分之x+3÷﹣x²+2x-1分之(x+3)(x-1)

人气：484 ℃　时间：2019-12-10 22:26:23

解答

(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)