分时化简: [1⼀(2x+2)]-[x⼀(x²-1)]+[1⼀(x-1)]

2026年09月24日 04:49
有2个网友回答
网友(1):

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

网友(2):

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