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

True or False? Explain.

False. You can pick any two numbers, but not the same number, to show its false. try it

First step of the equation is to simplify the equation 2a • b = a2 + b2 into 2 ab = a2 + b2. This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is - 9. hence the answer to this problem is false. we can try another values to verify