作业帮化简分式[x/(x+1)-2/(x^2-1)]÷(x^2-4)/(x^2-2x+1)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/15 03:45:32
化简分式[x/(x+1)-2/(x^2-1)]÷(x^2-4)/(x^2-2x+1)
化简分式[x/(x+1)-2/(x^2-1)]÷(x^2-4)/(x^2-2x+1)
化简分式[x/(x+1)-2/(x^2-1)]÷(x^2-4)/(x^2-2x+1)
解
原式
=[x(x-1)/(x-1)(x+1)-2/(x+1)(x-1)]÷(x-2)(x+2)/(x-1)²
=[(x²-x-2)/(x-1)(x+1)]×(x-1)²/(x-2)(x+2)
=(x-2)(x+1)/(x-1)(x+1)×(x-1)²/(x-2)(x+2)
=(x-2)/(x-1)×(x-1)²/(x-2)(x+2)
=(x-1)/(x+2)
分式化简1-[(x-1)/x]÷{[x/(x+2)] -[1/(x^2+2x)]}
化简分式【(x/x+1)+(x/x^2-1)】/(x^2+x/x^2+2x+1)
(x/x+y-x/y-x-2xy/x.x-y.y)/(1/x-1/y) 分式化简
怎样化简分式(x+2分之2x)-1
怎样化简分式(x+2分之2x)-1
一道分式方程如何化简(X/X-1)-( 3/(X-1)(X+2) ) -1
化简分式：3x-x^3 -2 / (1-x)(1-x^3)
化简分式[x/(x+1)-2/(x^2-1)]÷(x^2-4)/(x^2-2x+1)
化简和解分式方程化简(x+2)/(x^2-2x) - (x-1)/(x^2-4x+4) /(1-(4/x)解分式方程x/(x-4)=(2x+2)/(x^2-16) +1
化简分式x-（1/1-x）-（x^3-3x+1/x^2-1）,并求x=-1/3时该分式的值.
分式化简：[(x+2)/(x^2-2x)-(x-1)/(x^2-4x+4)]/(x-4)/(x^3-2x^2)
分式!x²-2x+1/x²-x
解分式不等式2/x>x-1
x^2/x是不是分式?
当1＜x＜2时,化简分式|x-2|/(x-2)-|x-1|/(1-x)=_______
数学分式化简计算x+[1/(x-1)]+[(x^2-3x+4)/(1-x^2)]
化简分式 1/X+1/(X+a)+1/(x+2a)+1/(x+3a)+1/(x+4a)
分式化简：（1）1/x-1/(X+1) (2)1/x(x+1)+1/(X+1)(x+2)+...+1/（x+999)(x+1000)