Question
Answer
$$(15.3i-14.3j)x(142.62i-63.69j)=2130i^2x-2933ijx+882j^2x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(15.3i-14.3j)x(142.62i-63.69j)& \xlongequal{ }(15i-14j)x(142i-63j) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(15ix-14jx)(142i-63j) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2130i^2x-945ijx-1988ijx+882j^2x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2130i^2x-2933ijx+882j^2x\end{aligned} $$ | |
| ① | $$ \left( \color{blue}{15i-14j}\right) \cdot x = 15ix-14jx $$ |
| ② | Multiply each term of $ \left( \color{blue}{15ix-14jx}\right) $ by each term in $ \left( 142i-63j\right) $. $$ \left( \color{blue}{15ix-14jx}\right) \cdot \left( 142i-63j\right) = 2130i^2x-945ijx-1988ijx+882j^2x $$ |
| ③ | Combine like terms: $$ 2130i^2x \color{blue}{-945ijx} \color{blue}{-1988ijx} +882j^2x = 2130i^2x \color{blue}{-2933ijx} +882j^2x $$ |
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