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I stuck in the middle. How to simplify it further
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How simple do you expect the final expression to be ? – Jul 20 '17 at 16:44
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Please type your question using MathJax. – Sahiba Arora Jul 20 '17 at 16:45
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It does not simplify much further. – user1952500 Jul 20 '17 at 16:47
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Not much more to say: in general, the four monomials are there to stay. However, you are halfway through showing that $(x\oplus y)\oplus z=x\oplus(y\oplus z)$ – Jul 20 '17 at 16:49
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The next to the last equation has four terms giving the disjunctive normal form. – Wuestenfux Jul 20 '17 at 16:49
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Wow, bad question. Other than the spelling mistake ('fint'), the question is already assuming that $\oplus$ is associative, but that is of course something that has yet to be shown. – Bram28 Jul 20 '17 at 17:07