If x^4+24 x^2+28 (x^2+1 )^3 = A (x^2+1 ) + B (x^2+1 )^2 + C (x^2+1 )^3 , then A+C=

Step-by-step solution

aligned & If x^4+24 x^2+28 (x^2+1 )^3 = A x^2+1 + B (x^2+1 )^2 & + C (x^2+1 )^3 & x^4+24 x^2+28=A (x^2+1 )^2+B (x^2+1 )+C & aligned On comparing the coefficient of different terms aligned & A=1 ; 2 A+B=24 and A+B+C=28 & A=1, B=22 , so A+C=6 . aligned