Помогите пожалуйста упростить с/с-2 - с/с+2 - с^2+4/4-с^2. Created by Rose001. algebra-ru

4-с^2...

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с/с-2 - с/с+2 - с^2+4/4-с^2

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Utem $\frac{c}{c-2}- \frac{c}{c+2}- \frac{c^2+4}{4-c^2}= \frac{c(c+2)-c(c-2)}{c^2-4}+ \frac{c^2+4}{c^2-4}= \frac{c^2+2c-c^2+2c+c^2+4}{c^2-4}=$
$= \frac{c^2+4c+4}{c^2-4}= \frac{(c+2)^2}{(c-2)(c+2)}= \frac{c+2}{c-2}$

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