Answer
$$(x^3+1)^2=x^6+2x^3+1$$
Explanation
| $$ \begin{aligned}(x^3+1)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^6+2x^3+1\end{aligned} $$ | |
| ① | Find $ \left(x^3+1\right)^2 $ using formula. $$ (A + B)^2 = \color{blue}{A^2} + 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ x^3 } $ and $ B = \color{red}{ 1 }$. $$ \begin{aligned}\left(x^3+1\right)^2 = \color{blue}{\left( x^3 \right)^2} +2 \cdot x^3 \cdot 1 + \color{red}{1^2} = x^6+2x^3+1\end{aligned} $$ |
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