Question
Answer
$$(4x+1)(5x+2)=20x^2+13x+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(4x+1)(5x+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20x^2+8x+5x+2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20x^2+13x+2\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{4x+1}\right) $ by each term in $ \left( 5x+2\right) $. $$ \left( \color{blue}{4x+1}\right) \cdot \left( 5x+2\right) = 20x^2+8x+5x+2 $$ |
| ② | Combine like terms: $$ 20x^2+ \color{blue}{8x} + \color{blue}{5x} +2 = 20x^2+ \color{blue}{13x} +2 $$ |
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