Question

ПОМОГИТЕ ПОЖАЛУЙСТА!!!! ​

Answer 1

$1)\frac{a-b}{a^{\frac{1}{2}}-b^{\frac{1}{2}}} =\frac{(a^{\frac{1}{2}})^{2}-(b^{\frac{1}{2}})^{2} }{a^{\frac{1}{2}}-b^{\frac{1}{2}}}=\frac{(a^{\frac{1}{2}}-b^{\frac{1}{2}})(a^{\frac{1}{2}}+b^{\frac{1}{2}})}{a^{\frac{1}{2}}-b^{\frac{1}{2}}}=a^{\frac{1}{2}}+b^{\frac{1}{2}}$

$2)\frac{a+b}{a^{\frac{2}{3}}-a^{\frac{1}{3}}b^{\frac{1}{3}}+b^{\frac{2}{3}}}=\frac{(a^{\frac{1}{3}})^{3}+(b^{\frac{1}{3}})^{3}}{a^{\frac{2}{3}}-a^{\frac{1}{3}}b^{\frac{1}{3}}+b^{\frac{2}{3}}}=\frac{(a^{\frac{1}{3}}+b^{\frac{1}{3}})*(a^{\frac{2}{3}}-a^{\frac{1}{3}}b^{\frac{1}{3}}+b^{\frac{2}{3}}) }{a^{\frac{2}{3}}-a^{\frac{1}{3}}b^{\frac{1}{3}}+b^{\frac{2}{3}}} =a^{\frac{1}{3}}+b^{\frac{1}{3}}$