若(3x+2)除以x的平方-4=a除以(x+2 ) + (2-x)除以b,则a+b=_____._数学解答

若(3x+2)除以x的平方-4=a除以(x+2 ) + (2-x)除以b,则a+b=_____.

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解答

(3x+2)/(x²-4)=a/(x+2)+(2-x)/b 应该是b除以(2-x)吧
(3x+2)/(x+2)(x-2)=a/(x+2)+b/(2-x)
1/(x+2)+2/(x-2)=a/(x+2)+b/(2-x)
1/(x+2)+2/(x-2)=a/(x+2)-b/(x-2)
a=1 b=-2
a+b=1-2=-1