Answer
$$(5x+3)(x-2)=5x^2-7x-6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x+3)(x-2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^2-10x+3x-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x^2-7x-6\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x+3}\right) $ by each term in $ \left( x-2\right) $. $$ \left( \color{blue}{5x+3}\right) \cdot \left( x-2\right) = 5x^2-10x+3x-6 $$ |
| ② | Combine like terms: $$ 5x^2 \color{blue}{-10x} + \color{blue}{3x} -6 = 5x^2 \color{blue}{-7x} -6 $$ |
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