Find $ \left(x-2\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 } $ and $ B = \color{red}{ 2 }$.

$$ \begin{aligned}\left(x-2\right)^2 = \color{blue}{x^2} -2 \cdot x \cdot 2 + \color{red}{2^2} = x^2-4x+4\end{aligned} $$$$ x^2 = 1^2x^2 = x^2 $$

Multiply $ \color{blue}{x} $ by $ \left( x-1\right) $ $$ \color{blue}{x} \cdot \left( x-1\right) = x^2-x $$Multiply $ \color{blue}{x} $ by $ \left( x-1\right) $ $$ \color{blue}{x} \cdot \left( x-1\right) = x^2-x $$

Multiply each term of $ \left( \color{blue}{x^2-x}\right) $ by each term in $ \left( x^2-4x+4\right) $.

$$ \left( \color{blue}{x^2-x}\right) \cdot \left( x^2-4x+4\right) = x^4-4x^3+4x^2-x^3+4x^2-4x $$

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

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

Combine like terms:

$$ x^4 \color{blue}{-4x^3} + \color{red}{4x^2} \color{blue}{-x^3} + \color{red}{4x^2} -4x = x^4 \color{blue}{-5x^3} + \color{red}{8x^2} -4x $$

Combine like terms:

$$ x^3 \color{blue}{-2x^2} \color{blue}{-x^2} +2x = x^3 \color{blue}{-3x^2} +2x $$

Multiply each term of $ \left( \color{blue}{x^4-5x^3+8x^2-4x}\right) $ by each term in $ \left( x^2-3x+1\right) $.

$$ \left( \color{blue}{x^4-5x^3+8x^2-4x}\right) \cdot \left( x^2-3x+1\right) = \\ = x^6-3x^5+x^4-5x^5+15x^4-5x^3+8x^4-24x^3+8x^2-4x^3+12x^2-4x $$

Combine like terms:

$$ x^6 \color{blue}{-3x^5} + \color{red}{x^4} \color{blue}{-5x^5} + \color{green}{15x^4} \color{orange}{-5x^3} + \color{green}{8x^4} \color{blue}{-24x^3} + \color{red}{8x^2} \color{blue}{-4x^3} + \color{red}{12x^2} -4x = \\ = x^6 \color{blue}{-8x^5} + \color{green}{24x^4} \color{blue}{-33x^3} + \color{red}{20x^2} -4x $$

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

$$ \left( \color{blue}{x^3-3x^2+2x}\right) \cdot \left( x-1\right) = x^4-x^3-3x^3+3x^2+2x^2-2x $$

Combine like terms:

$$ x^4 \color{blue}{-x^3} \color{blue}{-3x^3} + \color{red}{3x^2} + \color{red}{2x^2} -2x = x^4 \color{blue}{-4x^3} + \color{red}{5x^2} -2x $$

Remove the parentheses by changing the sign of each term within them.

$$ - \left( x^4-4x^3+5x^2-2x \right) = -x^4+4x^3-5x^2+2x $$

Combine like terms:

$$ x^6-8x^5+ \color{blue}{24x^4} \color{red}{-33x^3} + \color{green}{20x^2} \color{orange}{-4x} \color{blue}{-x^4} + \color{red}{4x^3} \color{green}{-5x^2} + \color{orange}{2x} = \\ = x^6-8x^5+ \color{blue}{23x^4} \color{red}{-29x^3} + \color{green}{15x^2} \color{orange}{-2x} $$