Answer
$$(3+5k)(8k-6)=40k^2-6k-18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(3+5k)(8k-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}24k-18+40k^2-30k \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}40k^2-6k-18\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{3+5k}\right) $ by each term in $ \left( 8k-6\right) $. $$ \left( \color{blue}{3+5k}\right) \cdot \left( 8k-6\right) = 24k-18+40k^2-30k $$ |
| ② | Combine like terms: $$ \color{blue}{24k} -18+40k^2 \color{blue}{-30k} = 40k^2 \color{blue}{-6k} -18 $$ |
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