Factorize the Expression a³ + b³ + a + b

Factorize the following expression : \(a^3 + b^3 + a + b\)

\[ a^3 + b^3 + a + b \] \[ = (a^3 + b^3) + (a + b) \] \[ = (a + b)(a^2 – ab + b^2) + (a + b) \] \[ = (a + b)(a^2 – ab + b^2 + 1) \]

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