Question

Упростить по ФСУ (Желательно побыстрее)

Answer 1

$1)(m^{\frac{1}{4}}+n^{\frac{1}{2}})^{2}-(m^{\frac{1}{4}}-n^{\frac{1}{2}})^{2}=(m^{\frac{1}{4}}+n^{\frac{1}{2}}-m^{\frac{1}{4}} +n^{\frac{1}{2}} )( m^{\frac{1}{4}}+n^{\frac{1}{2}}+m^{\frac{1}{4}} -n^{\frac{1}{2}})=\\\\=2n^{\frac{1}{2}} *2m^{\frac{1}{4}}=\boxed{4m^{\frac{1}{4}}n^{\frac{1}{2}}} \\\\\\2)(m^{\frac{1}{4}}-3n^{\frac{1}{3}})^{2}+(m^{\frac{1}{4}}+n^{\frac{1}{3}})^{2}=$

$=m^{\frac{1}{2}} -6m^{\frac{1}{4}}n^{\frac{1}{3}}+9n^{\frac{2}{3}}+m^{\frac{1}{2}} +6m^{\frac{1}{4}}n^{\frac{1}{3}}+9n^{\frac{2}{3}}=\boxed{2m^{\frac{1}{2}}+18n^{\frac{2}{3}}}$