Question

30 БАЛЛОВ!!!!! СРОЧНО!!!
Сократите
$( frac{3 a^{ frac{1}{6} }-2 b^{ frac{1}{6} } }{ a^{ frac{1}{3} }- b^{ frac{1}{3} } }- frac{3}{ a^{ frac{1}{6} }+ b^{ frac{1}{6}} } )/ frac{ a^{ frac{2}{3} }+ a^{ frac{1}{3} } b^{ frac{1}{3} }+ b^{ frac{2}{3} }}{ b^{ frac{5}{6} } }$

Answer 1

$1)(3a ^{1/3} -2b ^{1/6} )(a ^{1/6} +b ^{1/6} )(a ^{1/6}-b ^{1/6} )-1/(a ^{1/6} +b ^{1/6})=$$(3a ^{1/6} -2b ^{1/6} -3a ^{1/6}+3b ^{1/6} )/(a ^{1/3} -b ^{1/3})=b ^{1/6} /(a ^{1/3} -b ^{1/3})$
$2)b ^{1/3}/(a ^{1/3} -b ^{1/3} )*b ^{5/6}/(a ^{2/3}+(ab) ^{1/3} +b ^{2/3} )=b/(a-b)$