若A/(x+2)与B/(x-2)的和等于2x\x²-4

若A/(x+2)与B/(x-2)的和等于2x\x²-4
若A/(x+2)与B/(x-2)的和等于2x\x²-4

若A/(x+2)与B/(x-2)的和等于2x\x²-4
A/(A+2)+B/(X-2)
=［A(X-2)+B(X+2)］/(X^2-4)
=［(A+B)X+(-2A+2B)］/(X^2-4)
比较系数得方程组：
A+B=2
-2A+2B=0
解得：A=B=1.