n^3 + (n+1)^3
You asked:
Evaluate the expression: \({n}^{3} + {\left( n + 1 \right)}^{3}\)
MathBot Answer:
Evaluated
\(\displaystyle {n}^{3} + {\left( n + 1 \right)}^{3} = n^{3} + \left(n + 1\right)^{3} \)
Expanded
\[{n}^{3} + {\left( n + 1 \right)}^{3} = 2 n^{3} + 3 n^{2} + 3 n + 1\]
Factored
\[{n}^{3} + {\left( n + 1 \right)}^{3} = \left(2 n + 1\right) \left(n^{2} + n + 1\right)\]