Multiply each term of $ \left( \color{blue}{x+13}\right) $ by each term in $ \left( x+11\right) $.

$$ \left( \color{blue}{x+13}\right) \cdot \left( x+11\right) = x^2+11x+13x+143 $$

Combine like terms:

$$ x^2+ \color{blue}{11x} + \color{blue}{13x} +143 = x^2+ \color{blue}{24x} +143 $$

Multiply each term of $ \left( \color{blue}{x^2+24x+143}\right) $ by each term in $ \left( x+6\right) $.

$$ \left( \color{blue}{x^2+24x+143}\right) \cdot \left( x+6\right) = x^3+6x^2+24x^2+144x+143x+858 $$

Combine like terms:

$$ x^3+ \color{blue}{6x^2} + \color{blue}{24x^2} + \color{red}{144x} + \color{red}{143x} +858 = x^3+ \color{blue}{30x^2} + \color{red}{287x} +858 $$

Multiply each term of $ \left( \color{blue}{x^3+30x^2+287x+858}\right) $ by each term in $ \left( x-3\right) $.

$$ \left( \color{blue}{x^3+30x^2+287x+858}\right) \cdot \left( x-3\right) = x^4-3x^3+30x^3-90x^2+287x^2-861x+858x-2574 $$

Combine like terms:

$$ x^4 \color{blue}{-3x^3} + \color{blue}{30x^3} \color{red}{-90x^2} + \color{red}{287x^2} \color{green}{-861x} + \color{green}{858x} -2574 = \\ = x^4+ \color{blue}{27x^3} + \color{red}{197x^2} \color{green}{-3x} -2574 $$

Multiply each term of $ \left( \color{blue}{x^4+27x^3+197x^2-3x-2574}\right) $ by each term in $ \left( x-3\right) $.

$$ \left( \color{blue}{x^4+27x^3+197x^2-3x-2574}\right) \cdot \left( x-3\right) = \\ = x^5-3x^4+27x^4-81x^3+197x^3-591x^2-3x^2+9x-2574x+7722 $$

Combine like terms:

$$ x^5 \color{blue}{-3x^4} + \color{blue}{27x^4} \color{red}{-81x^3} + \color{red}{197x^3} \color{green}{-591x^2} \color{green}{-3x^2} + \color{orange}{9x} \color{orange}{-2574x} +7722 = \\ = x^5+ \color{blue}{24x^4} + \color{red}{116x^3} \color{green}{-594x^2} \color{orange}{-2565x} +7722 $$