Rational Function Expansion to Cubic Term

Expand the expression $\frac{1 - 8 x}{1 - x - 6 x ^{2}}$ in ascending powers of $x$ as far as $x^{3}$ .

~5 minAnswer checked instantlyundetermined coefficientspower series expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXII. Undetermined Coefficients, Examples XXII.b, No. 2

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