If `a=(2-sqrt(5))/(2+sqrt(5))` and `b=(2+sqrt(5))/(2-sqrt(5)),` find `a^2-b^2`

If a=2-sqrt(5) and b=(2+sqrt(5))/(2-sqrt(5)) find a^(2)-b^(2)

If a=(2+sqrt(5))/(2-sqrt(5)) and b=(2-sqrt(5))/(2+sqrt(5)) then find value of a+b and b=(2-sqrt(5))/(2+sqrt(5)) then find

If x=((sqrt(5)-2))/(sqrt(5)+2) and y=(sqrt(5)+2)/(sqrt(5)-2) find (i)

If a=(3-sqrt(5))/(3+sqrt(5)) and b=(3+sqrt(5))/(3-sqrt(5)) ,find the value of a^(2)+b^(2)

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

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : xy

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : x^(2)

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : y^(2)

If x =(sqrt(5)-2)/(sqrt(5)+2) and y = (sqrt(5)+2)/(sqrt(5)-2) : find : x^(2)+ y^(2)+xy