Coefficient of x^8 with rational coefficients

Find the coefficient of $x^{8}$ in the expansion of $(1 - rac{x^2}{3} + rac{x^4}{9})^{-2}$ .

~8 minAnswer checked instantlyGeneralized binomial theorem

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XV. Multinomial Theorem, Examples XV, No. 12

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).