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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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