Find $ \left(s-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}{ s } $ and $ B = \color{red}{ 1 }$.

$$ \begin{aligned}\left(s-1\right)^2 = \color{blue}{s^2} -2 \cdot s \cdot 1 + \color{red}{1^2} = s^2-2s+1\end{aligned} $$

Multiply each term of $ \left( \color{blue}{s^2-2s+1}\right) $ by each term in $ \left( s+3\right) $.

$$ \left( \color{blue}{s^2-2s+1}\right) \cdot \left( s+3\right) = s^3+3s^2-2s^2-6s+s+3 $$

Combine like terms:

$$ s^3+ \color{blue}{3s^2} \color{blue}{-2s^2} \color{red}{-6s} + \color{red}{s} +3 = s^3+ \color{blue}{s^2} \color{red}{-5s} +3 $$

Multiply each term of $ \left( \color{blue}{s^3+s^2-5s+3}\right) $ by each term in $ \left( s+10\right) $.

$$ \left( \color{blue}{s^3+s^2-5s+3}\right) \cdot \left( s+10\right) = s^4+10s^3+s^3+10s^2-5s^2-50s+3s+30 $$

Combine like terms:

$$ s^4+ \color{blue}{10s^3} + \color{blue}{s^3} + \color{red}{10s^2} \color{red}{-5s^2} \color{green}{-50s} + \color{green}{3s} +30 = s^4+ \color{blue}{11s^3} + \color{red}{5s^2} \color{green}{-47s} +30 $$

Multiply each term of $ \left( \color{blue}{s^4+11s^3+5s^2-47s+30}\right) $ by each term in $ \left( s+1\right) $.

$$ \left( \color{blue}{s^4+11s^3+5s^2-47s+30}\right) \cdot \left( s+1\right) = s^5+s^4+11s^4+11s^3+5s^3+5s^2-47s^2-47s+30s+30 $$

Combine like terms:

$$ s^5+ \color{blue}{s^4} + \color{blue}{11s^4} + \color{red}{11s^3} + \color{red}{5s^3} + \color{green}{5s^2} \color{green}{-47s^2} \color{orange}{-47s} + \color{orange}{30s} +30 = \\ = s^5+ \color{blue}{12s^4} + \color{red}{16s^3} \color{green}{-42s^2} \color{orange}{-17s} +30 $$

Combine like terms:

$$ \color{blue}{s} \color{red}{-1} +s^5+12s^4+16s^3-42s^2 \color{blue}{-17s} + \color{red}{30} = s^5+12s^4+16s^3-42s^2 \color{blue}{-16s} + \color{red}{29} $$