Exercise ID244

Algebra → Polynomials → Division of polynomial
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Simplify the following expression:

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
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