General Term of Rational Function

Find the general term in the expansion of $\frac{x ^{2} + 7 x + 3}{x ^{2} + 7 x + 10}$ in ascending powers of $x$ .

~10 minAnswer checked instantlyPartial fractionsBinomial expansionGeneral term

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXIII. Partial Fractions, Examples XXIII, No. 14

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