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Mathematics

(a + b)3 - a - b

Factorisation

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Answer

Given,

   (a + b)3 - a - b

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

= (a + b)[(a + b)2 - 1]

= (a + b)[(a + b)2 - 12]

= (a + b)(a + b + 1)(a + b - 1).

Hence, (a + b)3 - a - b = (a + b)(a + b + 1)(a + b - 1).

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