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Mathematics

Factorise the following:

ab2 + (a - 1)b - 1

Factorisation

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Answer

ab2 + (a - 1)b - 1

= ab2 + ab - b - 1

= ab(b + 1) - 1(b + 1)

= (b + 1)(ab - 1)

Hence, ab2 + (a - 1)b - 1 = (b + 1)(ab - 1).

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