已知,a/x+2与b/x-2的和为4x/x^2-4、则a等于__b等于__RT

已知,a/x+2与b/x-2的和为4x/x^2-4、则a等于__b等于__RT
已知,a/x+2与b/x-2的和为4x/x^2-4、则a等于__b等于__
RT

已知,a/x+2与b/x-2的和为4x/x^2-4、则a等于__b等于__RT
a=b=2

a/(x+2)+b/(x-2)=a(x-2)/(x^2-4)+b(x+2)/(x^2-4)
=[(ax-2a+bx+2b]/(x^2-4)=4x/(x^2-4)
(a+b)x+2(b-a)=4x
a+b=4
b-a=0
a=b=2

a/(x+2)+b/(x-2)=[(a+b)x-2(a-b)]/(x^2-4)=4x/(x^2-4)
a+b=4,a-b=0
a=b=2

A=B=2