Question

What is the factored form of n^3+512 (please answer) picture provided

Answer 1

`{n}^(3) + 512 \\ = {(n)}^(3) + {(8)}^(3) \\ by \: using \: {a}^(3) + {b}^(3) = (a + b)( {a}^(2) - ab + {b}^(2)) we \: \: \: get \\ = (n + 8)( {(n)}^(2) - n * 8 + {(8)}^(2) ) \\ = (n + 8)( {n}^(2) - 8n + 64)`

Hope you could get an idea from here.

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