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Question
Factorise : 4x4 + 9y4 + 11x2y2
Solution
4x4 + 9y4 + 11x2y2
= (2x2)2 + (3y2)2 + 12x2y2 - x2y2
= (2x2 + 3y2)2 - x2y2
= (2x2 + 3y2)2 - (xy)2
= ( 2x2 + 3y2 - xy )( 2x2 + 3y2 + xy) [ ∵ a2 - b2 = ( a + b )( a - b )]
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