Mathematic Problems
ab+baab-ba+11+ba-11-ba:1-a-3ba+b3a+ba-b-3
ab+baab-ba+11+ba-11-ba:1-a-3ba+b3a+ba-b-3=A:B
A=ab+baab-ba+11+ba-11-ba
A=ab+baab-ba+11+ba-11-ba
=a2+b2aba2-b2ab+11a+ba-11a-ba
=a2+b2a2-b2+aa+b-aa-b
=a2+b2+a(a-b)-a(a+b)(a+b)·(a-b)
=a2+b2+a2-ab-a2-ab(a+b)·(a-b)
=a2+b2-2ab(a+b)·(a-b)
=a-b2(a+b)·(a-b)
=a-ba+b
B=a+b-a+3ba+b3a+b-3a+3ba-b
B=a+b-a+3ba+b3a+b-3a+3ba-b
=4ba+b4ba-b
=a-ba+b
A:B=a-ba+b:a-ba+b
A:B=a-ba+b:a-ba+b
=a-ba+b·a+ba-b
=1
ab+baab-ba+11+ba-11-ba:1-a-3ba+b3a+ba-b-3=1