Answer
$$(w+6)(3w-4)=3w^2+14w-24$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(w+6)(3w-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3w^2-4w+18w-24 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3w^2+14w-24\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{w+6}\right) $ by each term in $ \left( 3w-4\right) $. $$ \left( \color{blue}{w+6}\right) \cdot \left( 3w-4\right) = 3w^2-4w+18w-24 $$ |
| ② | Combine like terms: $$ 3w^2 \color{blue}{-4w} + \color{blue}{18w} -24 = 3w^2+ \color{blue}{14w} -24 $$ |
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