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Let X, and Y be any two regular expressions. State true or false for the following. If your answer is false, give a counterexample. a)

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Let X, and Y be any two regular expressions. State true or false for the following. If your answer is false, give a counterexample. a) (UX)*Y = X*Y b) (XUY)*Y* = (X*Y)* c) Y(XY U X)* = (YX U X)*X

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