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Problem is A^2 + B^2 would the answer be stated as C^2?

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If you were in a geometry class, and this question was about the Pythagorean Theorem, then yes, A^2 + B^2 = C^2.  But besides that I'm somewhat at a loss. 

Also note, that "A^2 + B^2 =" , by itself like that, is not an example of any problem. It's not a valid mathematical statement because there is nothing on the other side of the equal sign. It needs more context. What are A and B representing? 

When you say "Solving a problem as this", are you thinking broad, as in any problem with a variable squared in it? or...? 

I would really like to help you out here but I will need more information before I can do so. I hope to hear back from you!