`x^(2) + xy + Y^(2) =100`

If x:y::5:2, then (x ^(2) - xy + y ^(2))/( x ^(2) + xy + y ^(2)) = ?

What should be added to product of (x ^(2) + xy - y ^(2)) and (x ^(2) - xy + y ^(2)) to get x ^(2) y ^(2)

If xy = 6 and x ^(2) y + xy ^(2) + x + y = 63, then the value of x ^(2) + y ^(2) is

If xy = 6 and x^(2) y + xy^(2) + x+y =63 , then the value of x^(2) +y^(2) is