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Mathematics

Factorise :

6 + 7b - 3b2

Factorisation

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Answer

6 + 7b - 3b2

= 6 + (9 - 2)b - 3b2

= 6 + 9b - 2b - 3b2

= (6 + 9b) - (2b + 3b2)

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

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

Hence,6 + 7b - 3b2 = (2 + 3b)(3 - b)

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