$(ni-n+3)^{2}$

asked by guest
on Oct 20, 2024 at 5:42 am



You asked:

Evaluate the expression: \({\left( n i - n + 3 \right)}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( n i - n + 3 \right)}^{2} = \left(- n + n i + 3\right)^{2} \)


Expanded

\[{\left( n i - n + 3 \right)}^{2} = - 2 n^{2} i - 6 n + 6 n i + 9\]


Factored

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


\(i\) is the imaginary unit, defined as \(i^2 = -1\).