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Mathematics

Factorise :

a2 + 4b2 - 3a + 6b - 4ab

Factorisation

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Answer

Given,

    a2 + 4b2 - 3a + 6b - 4ab

= a2 + 4b2 - 4ab - 3a + 6b

= a2 + (2b)2 - 2 × a × 2b - 3a + 6b

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

= (a - 2b)(a - 2b - 3).

Hence, a2 + 4b2 - 3a + 6b - 4ab =(a - 2b)(a - 2b - 3).

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