Suppose A and B represent two different school populations where A>B and A and B must be greater then 0. Which of the followi
ng expressions is the largest? Explain why. Show all work necessary.
A:2(A+B)
B:(A+B)^2
C:A^2+B^2
D:A^2-B^2
1 answer:
Answer:
Option: B is correct
Step-by-step explanation:
We know that A and B represents two different school populations.
Hence, A and B will be a positive integer.
Also we are given A>B
Since,

⇒
( As 2AB is a positive quantity)
Also 
Since an positive quantity
added to
will make the term greater than an positive quantity
subtracted from
.
Also
(Since
for all n>2)
Hence the largest term among all the terms is
.
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Answer:
Step-by-step explanation:
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