How to Simplify This Algebraic Expression?

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The discussion focuses on simplifying the algebraic expression (x^4 + x^2y^2 + y^4)/(x^2 - x^2y^2 + y^2). A participant confirms the correctness of the denominator, which leads to confusion among others about the simplification process. Some suggest trying division as a method to simplify the expression. Clarification and further elaboration on the steps involved in the simplification are requested. The conversation highlights the challenges faced when tackling complex algebraic expressions.
Jahnabi
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Hey!

Can anybody help me with this?

I need to simply the following expression:

(x^4 + x^2y^2 + y^4)/(x^2 - x^2y^2 + y^2)

I'd be so thankful ..
 
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Jahnabi said:
Hey!

Can anybody help me with this?

I need to simply the following expression:

(x^4 + x^2y^2 + y^4)/(x^2 - x^2y^2 + y^2)

I'd be so thankful ..

are sure the expression in the denominator is x^2 - x^2y^2 + y^2 and not x^2 - xy + y^2
 
yeah ..

oh, yeah .. I'm very sure about that ..
 
GroebnerBasis

hope it helps
 

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I'm sorry, but that went right over me ..! I didn't understand it a little bit .. Could you kindly elaborate? I'd be so very thankful ..
 
Did you simply try dividing?
 
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