(6x+12)/(x^2+4x+4)+(x^2)/(x^2-4)=(x^2-4)/(x^2-4x+4)

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(6x+12)/(x^2+4x+4)+(x^2)/(x^2-4)=(x^2-4)/(x^2-4x+4)(6x+12)/(x^2+4x+4)+(x^2)/(x^2-4)=(x^2-4)/(x^2-4x+

(6x+12)/(x^2+4x+4)+(x^2)/(x^2-4)=(x^2-4)/(x^2-4x+4)
(6x+12)/(x^2+4x+4)+(x^2)/(x^2-4)=(x^2-4)/(x^2-4x+4)

(6x+12)/(x^2+4x+4)+(x^2)/(x^2-4)=(x^2-4)/(x^2-4x+4)
6(x+2)/(x+2)²+x²/(x+2)(x-2)=(x+2)(x-2)/(x-2)²
6/(x+2)+x²/(x+2)(x-2)=(x+2)/(x-2)
两边乘(x+2)(x-2)
6x-12+x²=x²+4x+4
6x-12=4x+4
x=8
经检验,x=8是方程的解

x=8

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