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

Respuesta :

[tex]\dfrac{3x+1}{(x+1)^3(x^2+8)^2}[/tex]

can be expanded as

[tex]\dfrac a{x+1}+\dfrac b{(x+1)^2}+\dfrac c{(x+1)^3}+\dfrac{dx+e}{x^2+8}+\dfrac{fx+g}{(x^2+8)^2}[/tex]