Tap the blue circles to see an explanation.
$$ \begin{aligned}-2+sqrt-18-(4+3sqrt\cdot2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}qrst-20-(4+6iqrst) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}qrst-20-4-6iqrst \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-6iqrst+qrst-24\end{aligned} $$ | |
① | Combine like terms: $$ \color{blue}{-2} +qrst \color{blue}{-18} = qrst \color{blue}{-20} $$$$ 3 s q r t \cdot 2 i = 6 i q r s t $$ |
② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4+6iqrst \right) = -4-6iqrst $$ |
③ | Combine like terms: $$ qrst \color{blue}{-20} \color{blue}{-4} -6iqrst = -6iqrst+qrst \color{blue}{-24} $$ |