Consider the following identities for regular expressions; some are false and some are true. You are asked to decide which and in case it is false to provide the correct counterexample. (a) R(S+T)=RS+RT (b) (R*)*=R* (c) (R*S*)*=(R+S)* (d) (R+S)*=R*+S* (e) S(RS+S)*R=RR*S(RR*S)* (f) (RS+R)*R=R(SR+R)*

		a)	(b) is false and a counterexample is: R={ab},T={a}, S={b}
		b)	(a) is false and a counterexample is: R={ab},T={a}, S={b}
		c)	(d) is false and a counterexample is: R={a,},T={b}, S={a,}
		d)	(d) is false and a counterexample is: R={ab},T={a}, S={b}