SOLUTION: Help! Since the square of y is y^2 and the square of 13 is 169, why isn't the square of (y+13) equal to y^2 +169?

Algebra ->  Test -> SOLUTION: Help! Since the square of y is y^2 and the square of 13 is 169, why isn't the square of (y+13) equal to y^2 +169?      Log On


   

Question 871190: Help!
Since the square of y is y^2 and the square of 13 is 169, why isn't the square of (y+13) equal to y^2 +169?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Because A%5E2%2BB%5E2%3C%3E%28A%2BB%29%5E2
%28A%2BB%29%5E2=A%5E2%2B2AB%2BB%5E2 or more simply using the distributive property,
%28A%2BB%29%28A%2BB%29=%28A%2BB%29A%2B%28A%2BB%29B
%28A%2BB%29%5E2=A%5E2%2BBA%2BAB%2BB%5E2
%28A%2BB%29%5E2=A%5E2%2B2AB%2BB%5E2
So,
%283%2B4%29%5E2=3%5E2%2B2%283%29%284%29%2B4%5E2
7%5E2=9%2B24%2B16
49=49