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Write out the form of the partial fraction decomposition of the functions?
(x^4+6)/(x^5+7x^3)
and
5/(x^2-1)^2
Basically, the question is asking me to write the functions out in partial fraction form, but do not integrate or solve for the coefficients.
1 Answer
- TonyLv 79 years agoFavorite Answer
(x^4 + 6)/(x^5 + 7x^3) = (x^4 + 6)/[x^3)(x^2 + 7)] = A/x + B/x^2 + C/x^3 + (Dx + E)/(x^2 + 7).
5/(x^2 - 1)^2 = 5/[(x - 1)^2(x + 1)^2] = A/(x - 1) + B/(x - 1)^2 + C/(x + 1) + D/(x + 1)^2.
That's all you were asked to do.