Multiply each term of $ \left( \color{blue}{x+25}\right) $ by each term in $ \left( x+10\right) $.

$$ \left( \color{blue}{x+25}\right) \cdot \left( x+10\right) = x^2+10x+25x+250 $$

Combine like terms:

$$ x^2+ \color{blue}{10x} + \color{blue}{25x} +250 = x^2+ \color{blue}{35x} +250 $$

Multiply each term of $ \left( \color{blue}{x^2+35x+250}\right) $ by each term in $ \left( x+10\right) $.

$$ \left( \color{blue}{x^2+35x+250}\right) \cdot \left( x+10\right) = x^3+10x^2+35x^2+350x+250x+2500 $$

Combine like terms:

$$ x^3+ \color{blue}{10x^2} + \color{blue}{35x^2} + \color{red}{350x} + \color{red}{250x} +2500 = x^3+ \color{blue}{45x^2} + \color{red}{600x} +2500 $$

Multiply each term of $ \left( \color{blue}{x^3+45x^2+600x+2500}\right) $ by each term in $ \left( x-1\right) $.

$$ \left( \color{blue}{x^3+45x^2+600x+2500}\right) \cdot \left( x-1\right) = x^4-x^3+45x^3-45x^2+600x^2-600x+2500x-2500 $$

Combine like terms:

$$ x^4 \color{blue}{-x^3} + \color{blue}{45x^3} \color{red}{-45x^2} + \color{red}{600x^2} \color{green}{-600x} + \color{green}{2500x} -2500 = \\ = x^4+ \color{blue}{44x^3} + \color{red}{555x^2} + \color{green}{1900x} -2500 $$

Multiply each term of $ \left( \color{blue}{x^4+44x^3+555x^2+1900x-2500}\right) $ by each term in $ \left( x-14\right) $.

$$ \left( \color{blue}{x^4+44x^3+555x^2+1900x-2500}\right) \cdot \left( x-14\right) = \\ = x^5-14x^4+44x^4-616x^3+555x^3-7770x^2+1900x^2-26600x-2500x+35000 $$

Combine like terms:

$$ x^5 \color{blue}{-14x^4} + \color{blue}{44x^4} \color{red}{-616x^3} + \color{red}{555x^3} \color{green}{-7770x^2} + \color{green}{1900x^2} \color{orange}{-26600x} \color{orange}{-2500x} +35000 = \\ = x^5+ \color{blue}{30x^4} \color{red}{-61x^3} \color{green}{-5870x^2} \color{orange}{-29100x} +35000 $$