Question
Answer
$$(7x-2)(-5x^2+2x+5)=-35x^3+24x^2+31x-10$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(7x-2)(-5x^2+2x+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-35x^3+14x^2+35x+10x^2-4x-10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-35x^3+24x^2+31x-10\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{7x-2}\right) $ by each term in $ \left( -5x^2+2x+5\right) $. $$ \left( \color{blue}{7x-2}\right) \cdot \left( -5x^2+2x+5\right) = -35x^3+14x^2+35x+10x^2-4x-10 $$ |
| ② | Combine like terms: $$ -35x^3+ \color{blue}{14x^2} + \color{red}{35x} + \color{blue}{10x^2} \color{red}{-4x} -10 = -35x^3+ \color{blue}{24x^2} + \color{red}{31x} -10 $$ |
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