Respuesta :
A+B)^2 is the largest. It is A^2+2AB+B^2, which is clearly greater than the last two options. To compare (A+B)^2 and 2(A+B), we remove one A+B so that we're just comparing A+B and 2. As A+B must be at least 3 (as both must be positive integers, and one must be greater than the other, leading to a minimum value of A=2, B=1), A+B is greater than 2, and as a result, (A+B)^2 is always the largest.
Answer:
The correct option is [tex]B[/tex].
Step-by-step explanation:
Given: [tex]A[/tex] and [tex]B[/tex] represent two different school populations where [tex]A>B[/tex] and [tex]A[/tex] and [tex]B[/tex] must be greater than [tex]0[/tex].
As per question,
[tex]A>B[/tex], [tex]A>0[/tex] and [tex]B>0[/tex].
From the given option, [tex](A+B)^{2}[/tex] is the largest among all of the given expression as the algebraic identity of [tex](x+y)^{2}=x^2+y^2+2xy[/tex].
Therefore, the largest expression is [tex](A+B)^{2}[/tex]
Hence, the option [tex]B[/tex] is correct.
For more information:
https://brainly.com/question/21902224?referrer=searchResults
