How to Simplify This Algebraic Expression?

[Jahnabi]

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 ..

 

[geniusprahar_21]

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 $$x^2 - xy + y^2$$

 

[Jahnabi]

yeah ..

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

 

[nn987]

GroebnerBasis

hope it helps

 

[Jahnabi]

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 ..

 

[Hurkyl]

Did you simply try dividing?