Mathematics

Factorise :

a - b - a3 + b3

Factorisation

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Answer

Given,

    a - b - a3 + b3

= (a - b) - (a3 - b3)

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

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

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

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