That looks correct, but your first term is too complicated sinceSorry I made some mistake in the title. Question is related to "no more than 3 a's".
(b+c)* (c+b)*+ (b+c)*a(c+b)* + (b+c)* a(b+c)* a (c+b)* + (b+c)* a (b+c)*a (b+c)* a(c+b)*
I think the above one looks correct.
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