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Mathematics

Factorise the following:

a3 - b3 - a + b

Factorisation

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Answer

We know that,

a3 - b3 = (a - b)(a2 + ab + b2).

a3 - b3 - a + b = (a - b)(a2 + ab + b2) - 1(a - b)

= (a - b)(a2 + ab + b2 - 1).

Hence, a3 - b3 - a + b = (a - b)(a2 + ab + b2 - 1).

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