Question

Factorise

x4 x2 y2 y4

Answer 1

HEY!!

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x4 + x2y2 + y4   

= (x4 + 2x2y2 + y4) - x2y2               

= (x2 + y2)2 – (xy)2,            
   
= [(x2 + y2) + xy] [(x2 + y2) – xy]  
                              
= (x2 + xy + y2)(x2 –xy + y2)

Answer 2

ANSWER
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Factorisation :

x^4 x^2 y^2 y^4

Taking x^2y^2 common

x^2y^2 (x^2y^2)

= (x^2 y^2) ^ 2

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