第2个回答 2011-03-27
原式=[x(x+1)-x]/x(x-2)*(x^2-4)/x
=X^2/x(x-2)*(x^2-4)/x
=x+2
第3个回答 2011-03-27
x(x+1)-x x2+4 x(x+1-1) (x+2)(x-2)
------------ ------------- = ------------- ------------- =x+2
x(x-2) x x(x-2) x
第4个回答 2011-03-27
先因式分解,再通分,过程如下:
[(x+1)/(x-2)-x/(x^2-2x)](x-4/x)
=[(x+1)/(x-2)-x/x(x-2)](x-4/x)
=[(x+1)/(x-2)-1/(x-2)](x-4/x)
={[(x+1)-1]/(x-2)}(x-4/x)
=[x/(x-2)](x-4/x)
=[x/(x-2)](x^2-4)/x
=[x/(x-2)](x^2-4)/x
=[x/(x-2)](x+2)(x-2)/x
把分子分母写到一起
[x/(x-2)](x+2)(x-2)/x
=x(x+2)(x-2)/[(x-2)x]
=x+2