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 ) + (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) + (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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