（x-1/x+1 - x+1/x-3 ）除 2/x²+2x+1

来源：学生作业帮助网编辑：作业帮时间：2024/11/08 03:30:13

（x-1/x+1 - x+1/x-3 ）除 2/x²+2x+1
（x-1/x+1 - x+1/x-3 ）除 2/x²+2x+1

（x-1/x+1 - x+1/x-3 ）除 2/x²+2x+1
[(x-1)/(x+1) - (x+1)/(x-3)]÷ 2/(x²+2x+1)
=[(x-1)(x-3)-(x+1)²]/[(x+1)(x-3)]乘(x+1)²/2
=(x²-4x+3-x²-2x-1)/[(x+1)(x-3)]乘(x+1)²/2
=(-6x+2)/[(x+1)(x-3)]乘(x+1)²/2
=-2(3x-1)/[(x+1)(x-3)]乘(x+1)²/2
=-(3x-1)(x+1)/(x-3)

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