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Factorize each of the following expressions: a^3 + b^3 + a + b

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Factorize each of the following expressions:

a3 + b3 + a + b

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Given,

a3 + b3 + a + b = (a3 + b3) + (a + b)

= (a + b) (a2 – ab + b2) + a + b

= (a + b) (a2 – ab + b2 + 1)

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