Question

若(x+1)(x-1)分之x-3等于(x+1)分之A加上(x-1)分之B,求A、B的值

Answer 1

x-3/(x+1)(x-1)=A/(x+1) +B/(X-1)

x-3/(x+1)(x-1)=A(x-1)/(x+1)(x-1)+B(X+1)/(x+1)(x-1)

化简整理得：A(X-1)+B(x+1)=X-3

( A+B)x+B-A=X-3

联立 A+B=1和B-A=-3

解得：A= 2 B=-1

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