Question
Answer
$$(8x-6)(3x+5)=24x^2+22x-30$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(8x-6)(3x+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}24x^2+40x-18x-30 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}24x^2+22x-30\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{8x-6}\right) $ by each term in $ \left( 3x+5\right) $. $$ \left( \color{blue}{8x-6}\right) \cdot \left( 3x+5\right) = 24x^2+40x-18x-30 $$ |
| ② | Combine like terms: $$ 24x^2+ \color{blue}{40x} \color{blue}{-18x} -30 = 24x^2+ \color{blue}{22x} -30 $$ |
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