Question

упростите выражение см картинкк

Answer 1

1/(x^(-y)) = 1/(1/x^y) = x^y     ⇒ 
A = {[(a^(1/4) -b^(1/4)]² + 1/[a^(1/4)+b^(1/4)]²} :
                         :[(√a +√b)]/[(√a  -√b)(√a +√b)] =
     =  {[(a^(1/4) -b^(1/4)]² + 1/[a^(1/4)+b^(1/4)]²}  :[1/(√a  -√b)] =
     = {[(a^(1/4) -b^(1/4)]²·[(a^(1/4) +b^(1/4)]²+1}/{[(a^(1/4) +b^(1/4)]²} :
                          :[1/(√a  -√b)] =
     = {[(a^(1/2) - b^(1/2)]² +1} ·[(√a -√b)]/[a^(1/4)+b^(1/4)]² =
      = {[(√a  -√b)² +1}[a^(1/4)+b^(1/4)·[a^(1/4) - b^(1/4)]/[a^(1/4)+b^(1/4)]²=
       ={[((√a  -√b)]² +1}·[a^(1/4) - b^(1/4)]/[a^(1/4)+b^(1/4)]


={√a -√b]² +1} ·[(√a -√b)]/[√a +2√(√(ab))+√b]