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Mathematics

Factorise :

9a(x - 2y)4 - 12a(x - 2y)3

Factorisation

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Answer

9a(x - 2y)4 - 12a(x - 2y)3

= 3a(3(x - 2y)4 - 4(x - 2y)3)

= 3a(x - 2y)3(3(x - 2y) - 4)

= 3a(x - 2y)3(3x - 6y - 4)

Hence,9a(x - 2y)4 - 12a(x - 2y)3 = 3a(x - 2y)3(3x - 6y - 4)

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