$$( x - 3 ) ( x - 4 ) ( x - 5 ) ( x - 6 )$$
$\left(x-6\right)\left(x-5\right)\left(x-4\right)\left(x-3\right)$
$$\left(x^{2}-4x-3x+12\right)\left(x-5\right)\left(x-6\right)$$
$$\left(x^{2}-7x+12\right)\left(x-5\right)\left(x-6\right)$$
$$\left(x^{3}-5x^{2}-7x^{2}+35x+12x-60\right)\left(x-6\right)$$
$$\left(x^{3}-12x^{2}+35x+12x-60\right)\left(x-6\right)$$
$$\left(x^{3}-12x^{2}+47x-60\right)\left(x-6\right)$$
$$x^{4}-6x^{3}-12x^{3}+72x^{2}+47x^{2}-282x-60x+360$$
$$x^{4}-18x^{3}+72x^{2}+47x^{2}-282x-60x+360$$
$$x^{4}-18x^{3}+119x^{2}-282x-60x+360$$
$$x^{4}-18x^{3}+119x^{2}-342x+360$$
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$x^{4}-18x^{3}+119x^{2}-342x+360$
