Regroup terms.
\[43\imath mn+45m\imath nm\imath n\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[43\imath mn+45m{\imath }^{2}nmn\]
Use Square Rule: \({i}^{2}=-1\).
\[43\imath mn+45m\times -1\times nmn\]
Simplify \(45m\times -1\times nmn\) to \(-45mnnm\).
\[43\imath mn-45mnnm\]
Regroup terms.
\[43\imath mn-45nmmn\]
Regroup terms.
\[-45nmmn+43\imath mn\]
-45*nm*m*n+43*IM*m*n
