Question

Suppose A and B represent two different schools populations where A>B abd A and B must be greater than 0. Which of the following 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

Answer 1

Hmm, one way we can do this is by assigning numbers to each

A=4 and B=3
A>B because 4>3

so

A. 2(A+B)=2(4+3)=2(7)=14
B. A+B^2=4+3^2=4+9=13
C. A^2+B^2=4^2+3^2=16+9=25
D. A^2-B^2=4^2-3^2=16-9=7

the largest is 25 so C