Factorise : a - b - a 3 + b 3

Given, a - b - a 3 + b 3 = (a - b) - (a 3 - b 3 ) = (a - b) - (a - b)(a 2 + ab + b 2 ) = (a - b)(1 - a 2 - ab - b 2 ). Hence, a - b - a 3 + b 3 = (a - b)(1 - a 2 - ab - b 2 ).

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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Mathematics

Factorise :a - b - a3 + b3

Factorisation

Answer

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