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A={1,2,3,4}

B={3,4,5,6}

since A U B={1,2,3,4,5,6}

also B U A={1,2,3,4,5,6}

hence A U B= B U A

B={3,4,5,6}

since A U B={1,2,3,4,5,6}

also B U A={1,2,3,4,5,6}

hence A U B= B U A

and B={3,4,5,6}

hence A U B = {1,2,3,4,5,6}

similarly B U A={1,2,3,4,5,6}

hence proved