Is this statement about real numbers true or false

Question

For all real numbers a and b, 2a*b=a^2+b^2

Answer 1

2ab=a^2+b^2

a^2-2ab+b^2=0

(a-b)(a-b)=0

a-b=0

a=b

true for all numbers

as long as a and b are equal

examples:

2*3*3=3^2+3^2

18=9+9

2*7*7=7^2+7^2

2*7^2=2*7^2

Answer 2

True for a = b = 0, and a = b = 1.

Any others?