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Which of the following identity is true?

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Which of the following identity is true?

(a) Ɛ + RR* = R* = ɛ + R*R

(b) (R1R2)*R1 = R1 (R2R1)*

(c) R*R* = R*

(d) All of the mentioned

I got this question in a job interview.

This is a very interesting question from Obtaining the regular Expression from the Finite automata in section Finite Automata and Regular Expression of Compiler

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Right option is (d) All of the mentioned

For explanation I would say: The former Re can be produced from the latter one.

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