SOLUTION: Maurice says that a^2+b^2=(a+b)(a+b). Is this always true, never true, or sometimes true and why?

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Question 31801: Maurice says that a^2+b^2=(a+b)(a+b). Is this always true, never true, or sometimes true and why?
Answer by benni1013(206) About Me  (Show Source):
You can put this solution on YOUR website!
Never true. Using the foil method (First, Outer, Inner, Last)
F=a*a
O=a*b
I=a*b
L=b*b
This looks like this: a^2+ab+ab+b^2
Combine like terms:a^2+2ab+b^2
What your friend is probably talking about is called a perfect square trinomial which (a+b)^2=a^2+2ab+b^2.