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

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
A*2 + B*2

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.