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Suppose A and B represent two different school populations where A > B and A and B must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary.



2(A + B)

(A + B)2

A2 + B2

A2 − B2

Verified Answer :

we can reject the last one: subtracting a non-zero value will result in a smaller value.

So now we have:

2(A + B)
(A + B)2
A2 + B2

If all of them are mulptiplications, then they are all equivalent!

I mean by this, if what you meant is this:


2(A + B)
(A + B)2
A2 + B2

If there is no sign, then the multiplication sign is implicit,


and all of these expressions say exactly the same: two of A and two of B.