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