Tap the blue circles to see an explanation.
| $$ \begin{aligned}0.5i\cdot(1+i)-3& \xlongequal{ }0i\cdot(1+i)-3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}0i+0i^2-3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{0i} $ by $ \left( 1+i\right) $ $$ \color{blue}{0i} \cdot \left( 1+i\right) = 0i0i^2 $$ |
| ② | Combine like terms: $$ -3 = -3 $$ |