4. The following proof shows that b(a + b)* + bb(a + b)* + bbb(a + b)* = b(a + b)* Put the reason for each step in the blank on the right-hand side of that step. If an example in the notes can be used for a step, quote that example. b(a+b)* + bb(a+b)* + bbb(a+b)* = b(a+b)* + (bb+bbb)(a+b)* = b(a+b)* + b(b+bb)(a+b)* = b(a+b)* + bb(a+b)* = (b+bb)(a+b)* = b(a+b)*

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