(2n+2)² - (2n)²
You asked:
Evaluate the expression: \({\left( 2 n + 2 \right)}^{2} - {\left( 2 n \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( 2 n + 2 \right)}^{2} - {\left( 2 n \right)}^{2} = - 4 n^{2} + \left(2 n + 2\right)^{2} \)
Expanded
\[{\left( 2 n + 2 \right)}^{2} - {\left( 2 n \right)}^{2} = 8 n + 4\]
Factored
\[{\left( 2 n + 2 \right)}^{2} - {\left( 2 n \right)}^{2} = 4 \cdot \left(2 n + 1\right)\]