Mathematics
Factorise :
x4 + y4 - 3x2y2
Factorisation
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Answer
Given,
x4 + y4 - 3x2y2
= (x2)2 + (y2)2 - 2x2y2 - x2y2
= (x2 - y2)2 - (xy)2
= (x2 - y2 + xy)(x2 - y2 - xy).
Hence, x4 + y4 - 3x2y2 = (x2 - y2 + xy)(x2 - y2 - xy).
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