Question
Answer
$$0.5(x+4)^2+6=6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}0.5(x+4)^2+6& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}0.5(x^2+8x+16)+6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}0x^2+0x+0+6 \xlongequal{ } \\[1 em] & \xlongequal{ }0x^20x0+6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}6\end{aligned} $$ | |
| ① | Find $ \left(x+4\right)^2 $ using formula. $$ (A + B)^2 = \color{blue}{A^2} + 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ x } $ and $ B = \color{red}{ 4 }$. $$ \begin{aligned}\left(x+4\right)^2 = \color{blue}{x^2} +2 \cdot x \cdot 4 + \color{red}{4^2} = x^2+8x+16\end{aligned} $$ |
| ② | Multiply $ \color{blue}{0} $ by $ \left( x^2+8x+16\right) $ $$ \color{blue}{0} \cdot \left( x^2+8x+16\right) = 0x^20x0 $$ |
| ③ | Combine like terms: $$ 0x^20x \color{blue}{0} + \color{blue}{6} = \color{blue}{6} $$ |
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