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Question
Factorise:
x4 + y4 - 6x2y2
Solution
x4 + y4 - 6x2y2
= (x2)2 + (y)2 - 2x2y2 - 4x2y2
= [(x2)2 + (y)2 - 2x2y2] - (4x2y2)
= (x2 - y2)2 - (2xy)2
= (x2 - y2 - 2xy)(x2 - y2 + 2xy).
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