Question
Answer
$$(7x+1)(-2x+1)=-14x^2+5x+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(7x+1)(-2x+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-14x^2+7x-2x+1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-14x^2+5x+1\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{7x+1}\right) $ by each term in $ \left( -2x+1\right) $. $$ \left( \color{blue}{7x+1}\right) \cdot \left( -2x+1\right) = -14x^2+7x-2x+1 $$ |
| ② | Combine like terms: $$ -14x^2+ \color{blue}{7x} \color{blue}{-2x} +1 = -14x^2+ \color{blue}{5x} +1 $$ |
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