通分 1/x²-4与x/4-2x x/(x-1)²与1/x²-1

来源：学生作业帮助网编辑：作业帮时间：2024/05/11 13:39:58

通分 1/x²-4与x/4-2x x/(x-1)²与1/x²-1
通分 1/x²-4与x/4-2x x/(x-1)²与1/x²-1

通分 1/x²-4与x/4-2x x/(x-1)²与1/x²-1
1/x²-4与x/4-2x
1/x²-4
=1/(x-2)(x+2)
=2/2(x-2)(x+2)

x/4-2x
=-x/2(x-2)
=-x(x+2)/2(x-2)(x+2)
=(-x^2-2x)/2(x-2)(x+2)

x/(x-1)²与1/x²-1
x/(x-1)²
=x/(x-1)(x-1)
=x(x+1)/(x-1)(x-1)(x+1)
=(x^2+x)/(x-1)(x-1)(x+1)

1/x²-1
=1/(x-1)(x+1)
=(x-1)/(x-1)(x-1)(x+1)