Question
Answer
$$1-(3x+6)^2=-9x^2-36x-35$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}1-(3x+6)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1-(9x^2+36x+36) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}1-9x^2-36x-36 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-9x^2-36x-35\end{aligned} $$ | |
| ① | Find $ \left(3x+6\right)^2 $ using formula. $$ (A + B)^2 = \color{blue}{A^2} + 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ 3x } $ and $ B = \color{red}{ 6 }$. $$ \begin{aligned}\left(3x+6\right)^2 = \color{blue}{\left( 3x \right)^2} +2 \cdot 3x \cdot 6 + \color{red}{6^2} = 9x^2+36x+36\end{aligned} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9x^2+36x+36 \right) = -9x^2-36x-36 $$ |
| ③ | Combine like terms: $$ \color{blue}{1} -9x^2-36x \color{blue}{-36} = -9x^2-36x \color{blue}{-35} $$ |
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