Answer
The result in the standard form is $4i$.
Work Step by Step
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 $4i$.