Question

x=√2+1/√2-1 y=√2-1/√2+1 find x^2-y^2

Answer 1

X = 2+1+2√2

Y= 3-2√2

X+Y = 6

XY = 9-8=1

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

36-2 = x^2+y^2

34 =x^2+y^2

then,

x^2+y^2+xy

= 34+1=35