#1751 · Algebra · Sequences & series

General Term with Repeated Linear Factor

Find the general term in the expansion of $\frac{3 + 2 x - x ^{2}}{( 1 + x ) ( 1 - 4 x ) ^{2}}$ in ascending powers of $x$ .

~15 minAnswer checked instantlyPartial fractionsRepeated factorsGeneral term

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXIII. Partial Fractions, Examples XXIII, No. 17

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