Factorise the following: a 3 - b 3 - a + b

We know that, a 3 - b 3 = (a - b)(a 2 + ab + b 2 ). a 3 - b 3 - a + b = (a - b)(a 2 + ab + b 2 ) - 1(a - b) = (a - b)(a 2 + ab + b 2 - 1). Hence, a 3 - b 3 - a + b = (a - b)(a 2 + ab + b 2 - 1).

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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Mathematics

Factorise the following:
a³ - b³ - a + b

Factorisation

Answer

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Factorise the following:a3 - b3 - a + b

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