Question

x + y=√3, x-y= √2 then the expression (x^2-y^2)^2 =??

Answer 1

by using the identity

x²-y²=(x+y)(x-y)

(x²-y²)²= {(x+y)(x-y)}²

by substituting the values given

= {(√3)(√2)}²

= {√6}2

= 6.

(x²-y²)²= 6