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Algebraic Identities

Factorize a3+...

Question

Factorize $a^{3} + b^{3} + a + b$

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Solution

$a^{3} + b^{3} + a + b = (a + b) (a^{2} - a b + b^{2}) + 1 (a + b) = (a + b) (a^{2} - a b + b^{2} + 1)$

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