Let `x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5)` If the value of the expression `x-y+2x^2y+2xy^2-x^4y+xy^4` can be expressed in the form `sqrtp+sqrtq` where `p. q in N,` then find the value of `(p+q).`

Let x=sqrt(3-sqrt(5)) and y=sqrt(3+sqrt(5)) If the value of the expression x-y+2x^(2)y+2xy^(2)-x^(4)y+xy^(4) can be expressed in the form sqrt(p)+sqrt(q) where p.q in N, then find the value of (p+q)

(4x^3y - 6x^2 y^2 + 4xy^3 - y^4) can be expressed as :

If x=(sqrt(5)+1)/(sqrt(5)-1) and y=(sqrt(5)-1)/(sqrt(5)+1) find the value of x^(2)+y^(2)

If x=3sqrt(5)+2sqrt(2) and y=3sqrt(5)-2sqrt(2) , then the value of (x^(2)-y^(2))^(2) is

If x+y=sqrt3, x-y=sqrt2 , then the expression 8xy(x^2+y^2) has the value

If p = (3-sqrt(5))/(3+sqrt(5)) and q = (3+sqrt5)/(3-sqrt(5)) ,find the value of p^(2) + q^(2) .