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Автор - rprapraprpraprpraprp

Решите пожалуйста С1 с обеих вариантов

Ответ

Автор - SmEgDm

№1.

frac{xsqrt{x}+ysqrt{x}-xsqrt{y}}{xsqrt{x}+ysqrt{y}}=frac{sqrt{x}(x+y)-sqrt{x}^2sqrt{y}}{sqrt{x}^3+sqrt{y}^3}=frac{sqrt{x}(x-sqrt{x}sqrt{y}+y)}{(sqrt{x} +sqrt{y})(x-sqrt{x}sqrt{y}+y)} =frac{sqrt{x} }{sqrt{x} +sqrt{y} }.

№2.

frac{asqrt{a}-bsqrt{b}}{asqrt{a}+bsqrt{a}+asqrt{b}}=frac{sqrt{a}^3-sqrt{b}^3}{sqrt{a}(a+b)+sqrt{a}^2sqrt{b}}=frac{(sqrt{a}-sqrt{b})(a+sqrt{a}sqrt{b}+b)}{sqrt{a}(a+sqrt{a}sqrt{b}+b)}=frac{sqrt{a}-sqrt{b}}{sqrt{a}}.

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