Question
Answer
$$4+33+(i\cdot2.5)^2=37-4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4+33+(i\cdot2.5)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}37+(i\cdot2.5)^2 \xlongequal{ } \\[1 em] & \xlongequal{ }37+(2i)^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}37+4i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}37-4\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{4} + \color{blue}{33} = \color{blue}{37} $$ |
| ② | $$ \left( 2i \right)^2 = 2^2i^2 = 4i^2 $$ |
| ③ | $$ 4i^2 = 4 \cdot (-1) = -4 $$ |
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