Find the positive integers x and y such that `x+y=60 " and " xy^(3)` is maximum.

Find the asymptotes of the hyperbola xy - 3y - 2x = 0

IF x,y,z are positive integers (numbers ) then……….

Find the product of (-2xy)(3x - y)

Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) x ^(3) -y ^(3) = (x-y) (x ^(2) +xy +y ^(2)) using some non-zone positive integers and check by actual multiplication. Can you call these as identities ?

If x, y are positive real numbers such that xy = 1 then show that the minimum value of x + y is 2.