#1753 · Algebra · Sequences & series

General term with repeated factor

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

~15 minAnswer checked instantlyPartial fractionsBinomial theorem

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXIII. Partial Fractions, Examples XXIII, No. 20

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).