Автор - totty98

Решите, пожалуйста, по действиям) ​

Ответ

Проверено экспертом

Автор - Universalka

1)frac{c-d}{c^{2}+cd }-frac{c}{d^{2}+cd }=frac{c-d}{c(c+d)}-frac{c}{d(d+c)}=frac{cd-d^{2} -c^{2} }{cd(c+d)}=-frac{c^{2}-cd+d^{2}}{cd(c+d)}\\2)frac{d^{2} }{c^{3}-cd^{2}}+frac{1}{c+d}=frac{d^{2} }{c(c^{2}-d^{2})}+frac{1}{c+d}=frac{d^{2} }{c(c-d)(c+d)}+frac{1}{c+d}=frac{d^{2}-cd+c^{2}}{c(c-d)(c+d)}

3)-frac{c^{2}-cd+d^{2}}{cd(c+d)}:frac{c^{2}-cd+d^{2}}{c(c-d)(c+d)}=-frac{c^{2}-cd+d^{2}}{cd(c+d)}*frac{c(c-d)(c+d)}{c^{2}-cd+d^{2}}=-frac{c-d}{d}=frac{d-c}{d}

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