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[tex]( \frac{x}{x-2} - \frac{x}{x+2} - \frac{x^2+4}{4-x^2} ) : \frac{2x+x^2}{(2-x)^2} [/tex]
[tex]( \frac{x}{x-2} - \frac{x}{x+2} - \frac{x^2+4}{4-x^2} ) : \frac{2x+x^2}{(2-x)^2} [/tex]
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Verified answer
1)x/(x-2)-x/(x+2)+(x²+4)/(x-2)(x+2)=(x²+2x-x²-2x+x²+4)/(x²-4)==(x²+4x+4)/(x²-4)=(x+2)²/(x-2)(x+2)=(x+2)/(x-2)
2)(x+2)/(x-2)*(x-2)²/x(2+x)=(x-2)/x