If 1- x 3 n - r-0 n a r x r 1-x 3n-2r- then find a r- where n- N

(1 x^3)^n = (1 x)^n . (1+x+x^2)^n (1 x)^n . ((1 x)^2+3x)^n = #160; (1 x)^n ( ∑_r=0^n^nCr . (1 x)^2n 2r . ...

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Expansions to Remove Indeterminate Form

If 1- x 3 ...

Question

If ${(1 - x^{3})}^{n} = \sum_{r = 0}^{n} a_{r} x^{r} {(1 - x)}^{3 n - 2 r}$ , then find $a_{r}$ , where $n \in N$

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