Question
Answer
$$(3x-5)(x-4)=3x^2-17x+20$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(3x-5)(x-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3x^2-12x-5x+20 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3x^2-17x+20\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{3x-5}\right) $ by each term in $ \left( x-4\right) $. $$ \left( \color{blue}{3x-5}\right) \cdot \left( x-4\right) = 3x^2-12x-5x+20 $$ |
| ② | Combine like terms: $$ 3x^2 \color{blue}{-12x} \color{blue}{-5x} +20 = 3x^2 \color{blue}{-17x} +20 $$ |
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