Answer
$$40(x+8)(x+320)=40x^2+13120x+102400$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}40(x+8)(x+320)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(40x+320)(x+320) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}40x^2+12800x+320x+102400 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}40x^2+13120x+102400\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{40} $ by $ \left( x+8\right) $ $$ \color{blue}{40} \cdot \left( x+8\right) = 40x+320 $$ |
| ② | Multiply each term of $ \left( \color{blue}{40x+320}\right) $ by each term in $ \left( x+320\right) $. $$ \left( \color{blue}{40x+320}\right) \cdot \left( x+320\right) = 40x^2+12800x+320x+102400 $$ |
| ③ | Combine like terms: $$ 40x^2+ \color{blue}{12800x} + \color{blue}{320x} +102400 = 40x^2+ \color{blue}{13120x} +102400 $$ |
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