Question

Factorise -: X^4+x^2*y^2+y^4

Answer 1

Answer:

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Answer 2

x4 + x2y2 + y4    

We can rewrite the equations as-

=(x4 + 2x2y2 + y4) - x2y2           

                                                       

= (x2 + y2)2 – (xy)2                

= [(x2 + y2) + xy] [(x2 + y2) – xy]  

 = (x2 + xy + y2)(x2 –xy + y2)

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