Question

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2 примера...

Answer 1

$frac{a-16a^{0,5}}{5a^{0,25}+20}=frac{a^{0,5}(a^{0,5}-16)}{5(a^{0,25}+4)}=frac{a^{0,5}((a^{0,25})^2-4^2)}{5(a^{0,25}+4)}=frac{a^{0,5}(a^{0,25}-4)(a^{0,25}+4)}{5(a^{0,25}+4)}= \ =frac{1}{5}a^{0,5}(a^{0,25}-4)$

 

$frac{x^{frac{4}{3}}y+xy^{frac{4}{3}}}{sqrt[3]{x}+sqrt[3]{y}}=frac{xy(x^{frac{1}{3}}+y^{frac{1}{3}})}{sqrt[3]{x}+sqrt[3]{y}}=frac{xy(sqrt[3]{x}+sqrt[3]{y})}{sqrt[3]{x}+sqrt[3]{y}}=xy$