若(3x 1)/(x^2 2x-3)和( A/x-1) (B/x 3)是恒等式,A、B的值
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若(3x1)/(x^22x-3)和(A/x-1)(B/x3)是恒等式,A、B的值若(3x1)/(x^22x-3)和(A/x-1)(B/x3)是恒等式,A、B的值若(3x1)/(x^22x-3)和(A/
若(3x 1)/(x^2 2x-3)和( A/x-1) (B/x 3)是恒等式,A、B的值
若(3x 1)/(x^2 2x-3)和( A/x-1) (B/x 3)是恒等式,A、B的值
若(3x 1)/(x^2 2x-3)和( A/x-1) (B/x 3)是恒等式,A、B的值
是不是把加号漏了?
(3x+1)/(x^2+2x-3)≡( A/x-1)+ (B/x+3)
(3x+1)/(x^2+2x-3)≡[A(x+3)+B(x-1)]/(x^2+2x-3)
所以
3x+1≡A(x+3)+B(x-1)
3x+1≡(A+B)x+(3A-B)
所以A+B=3
3A-B=1
相加
4A=4
A=1,B=3A-1=2
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