Question
Answer
$$(6w+b-6)^2=b^2+12bw+36w^2-12b-72w+36$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(6w+b-6)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}b^2+12bw+36w^2-12b-72w+36\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{6w+b-6}\right) $ by each term in $ \left( 6w+b-6\right) $. $$ \left( \color{blue}{6w+b-6}\right) \cdot \left( 6w+b-6\right) = 36w^2+6bw-36w+6bw+b^2-6b-36w-6b+36 $$ |
| ② | Combine like terms: $$ 36w^2+ \color{blue}{6bw} \color{red}{-36w} + \color{blue}{6bw} +b^2 \color{green}{-6b} \color{red}{-36w} \color{green}{-6b} +36 = \\ = b^2+ \color{blue}{12bw} +36w^2 \color{green}{-12b} \color{red}{-72w} +36 $$ |
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