已知(3X+2)/(X-1)平方=A/(X-1)+B/(X-1)平方,求A和B的值

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已知(3X+2)/(X-1)平方=A/(X-1)+B/(X-1)平方,求A和B的值
已知(3X+2)/(X-1)平方=A/(X-1)+B/(X-1)平方,求A和B的值

已知(3X+2)/(X-1)平方=A/(X-1)+B/(X-1)平方,求A和B的值
(3X+2)/(X-1)²=A/(X-1)+B/(X-1)²
(3X+2)/(X-1)²=A(x-1)/(X-1)²+B/(X-1)²
(3X+2)/(X-1)²=[A(x-1)+B]/(X-1)²
3x+2=A(x-1)+B
3x+2=Ax-A+B
A=3
-A+B=2
B=5