Prove or disprove the correctness of the following equations for the regular expressions R, S, and T:

a) L((R∣S)∣T) = L(R∣(S∣T))

b) L(RRR*) = L(R+R)

c) L((RS)T) = L(R(ST))

d) L((R∣S)T) = L((RT)∣(ST))

e) L((RS+)) = L((RS) +)

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