n^2 + (n + 1)^2 + (n + 2)^2
You asked:
Evaluate the expression: \({n}^{2} + {\left( n + 1 \right)}^{2} + {\left( n + 2 \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {n}^{2} + {\left( n + 1 \right)}^{2} + {\left( n + 2 \right)}^{2} = n^{2} + \left(n + 1\right)^{2} + \left(n + 2\right)^{2} \)
Expanded
\[{n}^{2} + {\left( n + 1 \right)}^{2} + {\left( n + 2 \right)}^{2} = 3 n^{2} + 6 n + 5\]
Factored
\[{n}^{2} + {\left( n + 1 \right)}^{2} + {\left( n + 2 \right)}^{2} = 3 n^{2} + 6 n + 5\]