Coefficient with fractional exponent

Find the coefficient of $x^{5}$ in the expansion of $(1 - 2x + 3x^2)^{- rac{1}{2}}$ .

~8 minAnswer checked instantlyGeneralized binomial theoremSeries expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XV. Multinomial Theorem, Examples XV, No. 10

Stuck? A gentle nudge

Something off?

Workspace

Your answer

Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

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