The two expressions (x+y)^2 and x^2+y^2 are equal for all real numbers x and y

Question

Is the statement true or false ?

Answer 1

True is only for x = y = 0, for rest numbers the given statement is false.
So the answer is:  "false"

For example, if x = 1 and y = 2
(1 + 2)² ≠ 1² + 2²
    3²     ≠     5
    9      ≠     5