Question
Answer
$$(y^2+z^2)^3=y^6+3y^4z^2+3y^2z^4+z^6$$
Explanation
| $$ \begin{aligned}(y^2+z^2)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}y^6+3y^4z^2+3y^2z^4+z^6\end{aligned} $$ | |
| ① | Find $ \left(y^2+z^2\right)^3 $ using formula $$ (A + B) = A^3 + 3A^2B + 3AB^2 + B^3 $$where $ A = y^2 $ and $ B = z^2 $. $$ \left(y^2+z^2\right)^3 = \left( y^2 \right)^3+3 \cdot \left( y^2 \right)^2 \cdot z^2 + 3 \cdot y^2 \cdot \left( z^2 \right)^2+\left( z^2 \right)^3 = y^6+3y^4z^2+3y^2z^4+z^6 $$ |
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