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