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Show that, for any languages L_1 and L_2, we have (1). L_1L_1 = L_1L_1L_1, (2). (L_1L_2)L_1 = (L_1 + L_2)*

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Show that, for any languages L_1 and L_2, we have (1). L_1L*_1 = L*_1L_1L*_1, (2). (L*_1L_2)*L*_1 = (L_1 + L_2)*

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