Question
Answer
$$(6x-8)(5x+2)=30x^2-28x-16$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(6x-8)(5x+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}30x^2+12x-40x-16 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}30x^2-28x-16\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{6x-8}\right) $ by each term in $ \left( 5x+2\right) $. $$ \left( \color{blue}{6x-8}\right) \cdot \left( 5x+2\right) = 30x^2+12x-40x-16 $$ |
| ② | Combine like terms: $$ 30x^2+ \color{blue}{12x} \color{blue}{-40x} -16 = 30x^2 \color{blue}{-28x} -16 $$ |
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