Answer
$$(-6x-6)^2=36x^2+72x+36$$
Explanation
| $$ \begin{aligned}(-6x-6)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}36x^2+72x+36\end{aligned} $$ | |
| ① | Find $ \left(-6x-6\right)^2 $ in two steps. S1: Change all signs inside bracket. S2: Apply formula $$ (A + B)^2 = \color{blue}{A^2} + 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ 6x } $ and $ B = \color{red}{ 6 }$. $$ \begin{aligned}\left(-6x-6\right)^2& \xlongequal{ S1 } \left(6x+6\right)^2 \xlongequal{ S2 } \color{blue}{\left( 6x \right)^2} +2 \cdot 6x \cdot 6 + \color{red}{6^2} = \\[1 em] & = 36x^2+72x+36\end{aligned} $$ |
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