Question
Answer
$$(2x-9)(-2x+3)=-4x^2+24x-27$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2x-9)(-2x+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-4x^2+6x+18x-27 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4x^2+24x-27\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2x-9}\right) $ by each term in $ \left( -2x+3\right) $. $$ \left( \color{blue}{2x-9}\right) \cdot \left( -2x+3\right) = -4x^2+6x+18x-27 $$ |
| ② | Combine like terms: $$ -4x^2+ \color{blue}{6x} + \color{blue}{18x} -27 = -4x^2+ \color{blue}{24x} -27 $$ |
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