化简：x/(x-1)- 3/(x-1)(x+2) -1,并指出x的取值范围

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化简：x/(x-1)- 3/(x-1)(x+2) -1,并指出x的取值范围
化简：x/(x-1)- 3/(x-1)(x+2) -1,并指出x的取值范围

化简：x/(x-1)- 3/(x-1)(x+2) -1,并指出x的取值范围
x/(x-1)-3/(x-1)(x+2) -1
=[x(x+2)-3-(x-1)(x+2)]/(x-1)(x+2)
=[x^2+2x-3-(x-1)(x+2)]/(x-1)(x+2)
=[(x-1)(x+3)-(x-1)(x+2)]/(x-1)(x+2)
=[(x-1)(x+3-x-2)]/(x-1)(x+2)
=(x-1)/(x-1)(x+2)
=1/(x+2)
x≠1且x≠-2