Answer
$$(9w-1)(7w+4)=63w^2+29w-4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(9w-1)(7w+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}63w^2+36w-7w-4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}63w^2+29w-4\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{9w-1}\right) $ by each term in $ \left( 7w+4\right) $. $$ \left( \color{blue}{9w-1}\right) \cdot \left( 7w+4\right) = 63w^2+36w-7w-4 $$ |
| ② | Combine like terms: $$ 63w^2+ \color{blue}{36w} \color{blue}{-7w} -4 = 63w^2+ \color{blue}{29w} -4 $$ |
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