若4a-1/(a+2)(a-1)=m/(a+2)+n/(a-1),则m=____n=____(希望有过程)

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若4a-1/(a+2)(a-1)=m/(a+2)+n/(a-1),则m=____n=____(希望有过程)
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若4a-1/(a+2)(a-1)=m/(a+2)+n/(a-1),则m=____n=____(希望有过程)
若4a-1/(a+2)(a-1)=m/(a+2)+n/(a-1),则m=____n=____(希望有过程)

若4a-1/(a+2)(a-1)=m/(a+2)+n/(a-1),则m=____n=____(希望有过程)
m/(a+2)+n/(a-1)
=[m(a-1)+n(a+2)]/(a+2)(a-1)
=[(m+n)a+(2n-m)]/(a+2)(a-1)
=(4a-1)/(a+2)(a-1)
所以m+n=4
2n-m=-1
相加
3n=3
n=1,m=4-n=3