x²+9x/x²+3x + x²-9/x²+6x+9=
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x²+9x/x²+3x + x²-9/x²+6x+9=
x²+9x/x²+3x + x²-9/x²+6x+9=
x²+9x/x²+3x + x²-9/x²+6x+9=
(x^2+9x)/(x^2+3x)+(x^2-9)/(x^2+6x+9)
=x(x+9)/x(x+3)+(x+3)(x-3)/(x+3)^2
=(x+9)/(x+3)+(x-3)/(x+3)
=(x+9+x-3)/(x+3)
=(2x+6)/(x+3)
=2(x+3)/(x+3)
=2