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Popular >

factor n^3+512

Solution

factor

n^{3} + 512

Solution

(n + 8) (n^{2} - 8 n + 64)

Solution steps

n^{3} + 512

Rewrite

512

as

8^{3}

= n^{3} + 8^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

n^{3} + 8^{3} = (n + 8) (n^{2} - 8 n + 8^{2})

= (n + 8) (n^{2} - 8 n + 8^{2})

8^{2} = 64

= (n + 8) (n^{2} - 8 n + 64)

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Frequently Asked Questions (FAQ)

What is factor n^3+512 ?
The solution to factor n^3+512 is (n+8)(n^2-8n+64)