Answer
$$(5w+b-3)^2=b^2+10bw+25w^2-6b-30w+9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5w+b-3)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}b^2+10bw+25w^2-6b-30w+9\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5w+b-3}\right) $ by each term in $ \left( 5w+b-3\right) $. $$ \left( \color{blue}{5w+b-3}\right) \cdot \left( 5w+b-3\right) = 25w^2+5bw-15w+5bw+b^2-3b-15w-3b+9 $$ |
| ② | Combine like terms: $$ 25w^2+ \color{blue}{5bw} \color{red}{-15w} + \color{blue}{5bw} +b^2 \color{green}{-3b} \color{red}{-15w} \color{green}{-3b} +9 = \\ = b^2+ \color{blue}{10bw} +25w^2 \color{green}{-6b} \color{red}{-30w} +9 $$ |
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