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Mathematics

Factorise :

24a3 + 37a2 - 5a

Factorisation

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Answer

Given,

   24a3 + 37a2 - 5a

= 24a3 + 40a2 - 3a2 - 5a

= 8a2(3a + 5) - a(3a + 5)

= (8a2 - a)(3a + 5)

= a(8a - 1)(3a + 5).

Hence, 24a3 + 37a2 - 5a = a(8a - 1)(3a + 5).

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