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Mathematics

Factorise :

8(2a + 3b)3 - 12(2a + 3b)2

Factorisation

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Answer

8(2a + 3b)3 - 12(2a + 3b)2

= 4(2(2a + 3b)3 - 3(2a + 3b)2)

= 4(2a + 3b)2(2(2a + 3b) - 3)

= 4(2a + 3b)2(4a + 6b - 3)

Hence,8(2a + 3b)3 - 12(2a + 3b)2 = 4(2a + 3b)2(4a + 6b - 3)

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