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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