Coefficient of x^3 in square root polynomial

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

~8 minAnswer checked instantlyGeneralized binomial theorem

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XV. Multinomial Theorem, Examples XV, No. 11

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