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Unit Digit Calculation

Find the units digit of the following: \begin{align*} & (972 - 268)(973 - 267)(974 - 266) \\ &\qquad+ (968 - 272)(967 - 273)(966 - 274) - (999 - 222)^3 \end{align*}

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$