(1/x-2 )+(2/x+1)-(2/x-1)-(1/x+2)

来源:百度知道 编辑:UC知道 时间:2024/06/09 10:22:08

1/(x-2 )+2/(x+1)-2/(x-1)-1/(x+2)
=[(x+2)-(x-2)]/(x+2)(x-2)+2[(x-1)-(x+1)]/(x+1)(x-1)
=4/(x^2-4)-4/(x^2-1)
=4[(x^2-1)-(x^2-4)]/(x^2-4)(x^2-1)
=12/(x^4-5x^2+4)

(1/x-2 )+(2/x+1)-(2/x-1)-(1/x+2)
=4/(X^2-4)-4/(X^2-1)
=12/(X^2-4)(X^2-1)

=1/X-2+2/X+1-2/X+1-1/X-2
=1/X+2/X-2/X-1/X-2+1+1-2
=-2

你的问题是[(1/x)-2 ]+[(2/x)+1]-[(2/x)-1]-[(1/x)+2] 还是[1/(x-2 )]+[2/(x+1)]-[2/(x-1)]-[1/(x+2)] 吖..我当作是[1/(x-2 )]+[2/(x+1)]-[2/(x-1)]-[1/(x+2)] 来做的..

(1/x-2 )+(2/x+1)-(2/x-1)-(1/x+2)
=4/(x^2-4)-4/(x^2-1)
=12/(x^2-4)(x^2-1)

1、4项通分计算得到 4/(x^2-4)
2、3项通分计算得到 -4/(x^2-1)
再把结果通分相加即得答案为 12/(x^2-4)(x^2-1)

通分 结果是3/(X+2)(X-2)(X+1)(X-1)