is this right:
The statement "For all real numbers a and b, 2a • b = a2 + b2" is false. I got my answer because of this example, I picked real numbers and evaluated of both sides of the equations. Then i mostly got to the reason that these equations are not comparable because there using completely different numbers to get around
No, your explanation seems to be incorrect. In order to determine if the statement is true or false, you need to prove that it is false by providing a counterexample. This means finding specific values for "a" and "b" that make the equation false.
To prove this statement false, you need to find real numbers "a" and "b" that do not satisfy the equation 2ab = a^2 + b^2. For example, let's consider a = 1 and b = 2:
2ab = 2(1)(2) = 4
a^2 + b^2 = 1^2 + 2^2 = 1 + 4 = 5
As 4 does not equal 5, this counterexample shows that the statement is false.