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