## Precalculus (6th Edition) Blitzer

The result in the standard form is $4i$.
Perform the standard operation and expand for the given expression $\left( 1+i \right)\left( 2+2i \right)$ as below: \begin{align} & =\,2+2i+2i+2{{i}^{2}} \\ & =2+4i-2 \\ & =4i \end{align} Therefore, the result in the standard form is $4i$.