Factorize:

x3 + 512

We know that,


a3 + b3 = (a + b) (a2 – a × b + b2)


Using this formula, we get


= (x)3 – (8)3


= (x - 8) [(x)2 + x (8) + (8)2]


= (x – 8) (x2 + 8x + 64)


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