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($\frac{2}{x+3}$ +$\frac{x}{x-3}$ -$\frac{x^2+4}{x^2-9}$ ):$\frac{x-2}{x+3}$ 
ĐKXĐ : X khác ±3

P=($\frac{2(x-3)}{(x+3).(x-3)}$ +$\frac{x(x+3)}{(x+3).(x+3)}$ -$\frac{x^2+4}{(x-3).(x+3)}$ ):$\frac{x-2}{x+3}$ 
P=($\frac{2x-6+x^2+3x-x^2-4}{(x+3).(x-3)}$ ):$\frac{x-2}{x+3}$ 

P=$\frac{5x-10}{(x+3).(x-3)}$ :$\frac{x-2}{x+3}$ 

P=$\frac{5x-10}{(x+3).(x-3)}$ .$\frac{x+3}{x-2}$ 

P=$\frac{5(x-2).(x+3)}{(x+3).(x-3).(x-2)}$ 

P=$\frac{5}{x-3}$ 
b)P= x²+2x-3=0
⇔P= $x^{2}$ +2x$\frac{1}{2}$ +($\frac{1}{2}$) $^{2}$ -($\frac{1}{2}$) $^{2}$ -3=0
⇔p=(x+$\frac{1}{2}$) $^{2}$ - $\frac{√13}{2}$ =0

⇒Pth1 :x+$\frac{1}{2}$ -$\frac{√13}{2}$ =0

⇔x=$\frac{-1+√13}{2}$ 

⇒Pth2 x+$\frac{1}{2}$ +$\frac{√13}{2}$ =0

⇔x=-$\frac{1+√13}{2}$ 

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