x^2+6x+9/x-2除以x+3/x^2-4

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x^2+6x+9/x-2除以x+3/x^2-4x^2+6x+9/x-2除以x+3/x^2-4x^2+6x+9/x-2除以x+3/x^2-4(x^2+6x+9)/(x-2)÷(x+3)/(x^2-4)=

x^2+6x+9/x-2除以x+3/x^2-4
x^2+6x+9/x-2除以x+3/x^2-4

x^2+6x+9/x-2除以x+3/x^2-4
(x^2+6x+9)/(x-2)÷(x+3)/(x^2-4)
=(x+3)^2/(x-2)*(x^2-4)/(x+3)
=(x+3)^2/(x-2)*(x-2)(x+2)/(x+3)
=(x+3)(x+2)
=x^2+5x+6