若分式4x-9/3x^2=A/3x+2-B/x-1(A,B为常数),A,B的值为

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若分式4x-9/3x^2=A/3x+2-B/x-1(A,B为常数),A,B的值为
若分式4x-9/3x^2=A/3x+2-B/x-1(A,B为常数),A,B的值为

若分式4x-9/3x^2=A/3x+2-B/x-1(A,B为常数),A,B的值为
(4x-9)/(3x^2-x-2)
=[7(x-1)-(3x+2)]/(3x+2)(x-1)
=7/(3x+2)-1/(x-1)
所以
A=7,B=1