n^2 + (n + 1)^2 + (n + 2)^2

asked by guest
on Oct 24, 2024 at 9:24 pm



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

\[{n}^{2} + {\left( n + 1 \right)}^{2} + {\left( n + 2 \right)}^{2} = 3 n^{2} + 6 n + 5\]

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