Question
Answer
$$(0.5s+1)(0.5s+1)=1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(0.5s+1)(0.5s+1)& \xlongequal{ }(0s+1)(0s+1) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}0s^2+0s+0s+1 \xlongequal{ } \\[1 em] & \xlongequal{ }0s^2 \cancel{0s} \cancel{0s}+1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}1\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{0s+1}\right) $ by each term in $ \left( 0s+1\right) $. $$ \left( \color{blue}{0s+1}\right) \cdot \left( 0s+1\right) = 0s^2 \cancel{0s} \cancel{0s}+1 $$ |
| ② | Combine like terms: $$ 0s^2 \, \color{blue}{ \cancel{0s}} \, \, \color{blue}{ \cancel{0s}} \,+1 = 1 $$ |
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