Answer
$$(z+3y)(5z+4)=15yz+5z^2+12y+4z$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(z+3y)(5z+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5z^2+4z+15yz+12y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15yz+5z^2+12y+4z\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{z+3y}\right) $ by each term in $ \left( 5z+4\right) $. $$ \left( \color{blue}{z+3y}\right) \cdot \left( 5z+4\right) = 5z^2+4z+15yz+12y $$ |
| ② | Combine like terms: $$ 15yz+5z^2+12y+4z = 15yz+5z^2+12y+4z $$ |
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