Question
Answer
$$3xy(2yz+4xz)=12x^2yz+6xy^2z$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3xy(2yz+4xz)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6xy^2z+12x^2yz \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12x^2yz+6xy^2z\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3xy} $ by $ \left( 2yz+4xz\right) $ $$ \color{blue}{3xy} \cdot \left( 2yz+4xz\right) = 6xy^2z+12x^2yz $$ |
| ② | Combine like terms: $$ 12x^2yz+6xy^2z = 12x^2yz+6xy^2z $$ |
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