Coefficient of high power

Find the coefficient of $x^{6}$ in the expansion of $(1 + 4x^2 + 10x^4 + 20x^6)^{- rac{3}{4}}$ .

~12 minAnswer checked instantlyMultinomial TheoremBinomial Series

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XV. Multinomial Theorem, Examples XV, No. 14

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