化简求值x/(x-1)-3/(x-1)(x+2)-1x=-(2/3)
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化简求值
x/(x-1)-3/(x-1)(x+2)-1
x=-(2/3)
x/(x-1)-3/(x-1)(x+2)-1
x=-(2/3)
x/(x-1)-3/(x-1)(x+2)-1
=x(x+2)/(x-1)(x+2)-3/(x-1)(x+2)-(x-1)(x+2)/(x-1)(x+2)
=[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+3)(x-1)-(x-1)(x+2)]/(x-1)(x+2)
=(x-1)[(x+3)-(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)
=1/(-2/3+2)
=1/(4/3)
=3/4
=x(x+2)/(x-1)(x+2)-3/(x-1)(x+2)-(x-1)(x+2)/(x-1)(x+2)
=[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+3)(x-1)-(x-1)(x+2)]/(x-1)(x+2)
=(x-1)[(x+3)-(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)
=1/(-2/3+2)
=1/(4/3)
=3/4
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