If x and y are positive integers such that, `xy+x+y=71,x^2 y+xy^2=880, then x^2+y^2=`

If xy=6 and x^2y+xy^2+x+y=63 then x^2+y^2=

If (z^(x ^(2 ) +y ^(2)))/(z ^(-2xy ))= (z ^(3)), x and y are positive integers, and x gt y, what is the value of x -y ?

The number of ordered pairs (x,y) of positive integers satisying 2^(x) + 3^(y) = 5^(xy) is

x,y in R with (x>y) such that x^2 y^2 + x^2 +y^2 + 2xy = 40 and xy + x+y=8 Find x.

If x + y = 10 and xy = 16 , then the values of x^2 - xy + y^2 and x^2 + x y + y^2 are

If two positive integers a and b are written as a=x^(3)y^(2) and b=xy^(3);x,y are prime numbers then HCF(a,b) is (a) xy (b) xy^(2) (c) x^(3)y^(3) (d) x^(2)y^(2)

x-x^(2)y+xy^(2)-y