Consider the rational function Fs s3 1s2 72 s 102 Select

Consider the rational function F(s) = s^3 - 1/(s^2 + 7)^2 (s + 10)^2. Select ALL terms below that occur in the general form of the complete partial fraction decomposition of F(S). The capital letters A, B, C, hellip, L denote constants. D/(s2 + 7)^2 A/s^2 + 7 G/s + 10 H s + I/s + 10 Bs + C/s^2 + 7 Bs + C/s^2 + 7 J/(s + 10)^2 Ks + L/(s + 10)^2 Es + F/(s^2 + 7)^2

Solution

Given that

F( s ) = ( s³ - 1 ) / ( s² + 7 )² ( s + 10 )²

Partial fraction of F(s) is ,

    F( s ) = [ ( Bs + C ) / ( s² + 7 ) ]+ [ ( Es + F ) / ( s² + 7)² ] + [ G / ( s + 10 )] + [ J / ( s +10 )² ]