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Solving Index Laws (Algebra) using .Net

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My co-employee (math professor) is asking my help to make a simple algebra solver for him. The specific topic is Index Laws, is there anything in .Net that I could already utilize for this or do I need to study the process of solving it and just code it manually? An example equation is like below and it looks simple but there will be other examples which are more difficult than this:

(2x2)(3x + 2) = 6x3 + 4x2

Any ideas on how I should tackle this problem is very much appreciated. I could probably use 2 richtextboxes for this but any other ideas are most welcome.

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