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