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Question
Factorise completely: 16x4 - 81y4
Sum
Solution
16x4 - 81y4 = (4x2)2 - (9y2)2
= (4x2 + 9y2) (4x2 - 9y2)
= (4x2 + 9y2)[(2x)2 - (3y)2]
= (4x2 + 9y2)(2x + 3y)(2x - 3y)
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Factorising Completely
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