why (a+b+c)*!= (a*+b*+c*) and why (a+b+c)* = (a*+b*+c*)*

Question

From (a+b+c)* we can generate either a or b or c and kleene closure of that alphabet i.e  a* or b* or c*  which is same as (a*+b*+c*) .

Comments

With a*+b*+c* can you generate abc ?

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Thanks ,I got your point.

Answer 1

Because from the expression (a*+b*+c*) you can only generate all possible length strings on one variable, and from (a+b+c)* and (a*+b*+c*)* you can genrate all possible strings on a,b,c

Comments

Thanks , for the explanation

Answer 2

Because (a*+b*+c*) only generates aa….. or bb….. or cc……

it can not generate abc, ab, ba,….

while others can generate all possible combinations 

Comments

Thanks , for the explanation