( n ^ { ( 3 ) } - 8 ^ { 3 }
Factor
\left(n-8\right)\left(n^{2}+8n+64\right)
Evaluate
n^{3}-512
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n^{3}-512
Multiply and combine like terms.
\left(n-8\right)\left(n^{2}+8n+64\right)
Rewrite n^{3}-512 as n^{3}-8^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right). Polynomial n^{2}+8n+64 is not factored since it does not have any rational roots.
n^{3}-512
Calculate 8 to the power of 3 and get 512.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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