1.

Factorize: x2-y2-4xz+4z2

Answer»

Given, 

x4+x2y2+y4 = x4+2x2y2+y4 – x2y2 

= (x2y2)2 – (xy)2 

= (x2+ y2 – xy) (x2+ y2 + xy)



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