Answer
$$(5x-2)(4x+3)=20x^2+7x-6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x-2)(4x+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20x^2+15x-8x-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20x^2+7x-6\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x-2}\right) $ by each term in $ \left( 4x+3\right) $. $$ \left( \color{blue}{5x-2}\right) \cdot \left( 4x+3\right) = 20x^2+15x-8x-6 $$ |
| ② | Combine like terms: $$ 20x^2+ \color{blue}{15x} \color{blue}{-8x} -6 = 20x^2+ \color{blue}{7x} -6 $$ |
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