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Question
Factorise : x4 + y4 - 3x2y2
Solution
x4 + y4 - 3x2y2
= x4 + y4 - 2x2y2 - x2y2
= (x2)2 + (y2)2 - 2x2y2 - x2y2
= ( x2 - y2 )2 - (xy)2
= ( x2 - y2 - xy )( x2 - y2 + xy ) [ ∵ a2 - b2 = ( a + b )( a - b )]
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