Question
Answer
$$-5i(5i-5)=25i+25$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5i(5i-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(25i^2-25i) \xlongequal{ } \\[1 em] & \xlongequal{ }-(-25-25i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}25+25i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}25i+25\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5i} $ by $ \left( 5i-5\right) $ $$ \color{blue}{5i} \cdot \left( 5i-5\right) = 25i^2-25i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(-25-25i \right) = 25+25i $$ |
| ③ | Combine like terms: $$ 25i+25 = 25i+25 $$ |
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