SOLUTION: If n is an odd integer, which is the following is the square of the next larger odd integer? The answer is n^2+4n+4 can you explain how you get that? thank you

Algebra ->  Equations -> SOLUTION: If n is an odd integer, which is the following is the square of the next larger odd integer? The answer is n^2+4n+4 can you explain how you get that? thank you       Log On


   

Question 120706: If n is an odd integer, which is the following is the square of the next larger odd integer?
The answer is n^2+4n+4
can you explain how you get that?
thank you
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
If n is an odd integer, then the next odd integer is n+2.

Now, square the (n+2):
+%28n%2B2%29%5E2+
%28n%2B2%29%28n%2B2%29+

This is a "FOIL" problem:
n%5E2+%2B4n%2B4

R^2