Question

Write out the form of the partial fraction decomposition of the function (see example). do not determine the numerical values of the coefficients. (3x + 1) / (x + 1)^3(x^2 + 8)^2

Answer 1

`(3x+1)/((x+1)^3(x^2+8)^2)`

can be expanded as


`\frac a{x+1}+\frac b{(x+1)^2}+\frac c{(x+1)^3}+(dx+e)/(x^2+8)+(fx+g)/((x^2+8)^2)`