Question

Pls help ASAP!
You will have to determine if the statement is true or false. If it's false you will explain your reasoning.

For all real numbers a and b, 2a • b = a² + b²

Answer 1

The statement is false.

In order for the statement to be true, the equation 2a • b = a² + b² should hold for all real numbers a and b.

Let's consider a counterexample to show that the statement is false.

If we choose a = 0 and b = 1, then the left-hand side of the equation becomes 2(0) • 1 = 0, while the right-hand side becomes 0² + 1² = 1. Since 0 does not equal 1, the equation does not hold true.

Therefore, the statement is false.