In the expansion of (x2 – x)8 find the coefficient of x8.
Well, do it! What is your plan?
$\displaystyle
(x^{2}-x)^{8} = \left(x^{2}\right)^{8} + 8\left(x^{2}\right)^{7}(-x) + ...???$
Fill in the ??? and pick out the right one. You can learn to write down specific terms as your NEXT assignment.
Of course, it might be easier on this one...
$\displaystyle x^{8}\cdot (x - 1)^{8} = x^{8}\cdot\left[x^{8} + 8x^{7}(-1) + ...???\right]$