Mathematics
Factorise :
16x4 - 81y4
Factorisation
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Answer
16x4 - 81y4
= (4x2)2 - (9y2)2
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= (4x2 + 9y2)(4x2 - 9y2)
= (4x2 + 9y2)((2x)2 - (3y)2)
= (4x2 + 9y2)(2x - 3y)(2x + 3y)
Hence,16x4 - 81y4 = (4x2 + 9y2)(2x - 3y)(2x + 3y)
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