What are the steps involved to get the following equation? I'm just a bit confused on the math process to get from the left equation to the right
$$\left(\frac{s}{6}\frac{1-s^6}{1-s}\right)^2 = \frac{s^2}{36} (s^5 + s^4 +s^3+s^2+s+1)^2 $$

The modified statement is now correct.
$$\Bigg(\frac{s(1-s^6)}{6(1-s)}\Bigg)^2=\frac{s^2}{36}[s^5+s^4+s^3+s^2+s+1]^2$$
To understand the algebraic passages let's focus on
$$(1-s^6)=(1+s^3)\underbrace{(1-s^3)}_{(1-s)(1+s+s^2)}$$
... simplify and get the correct result
