3c 11p2 3p 8c5p2 12p 9 85p2 3pSolution3c 11p2 3p 8c

3c - 11/p^2 + 3p + 8c/5p^2 + 12p - 9 - 8/5p^2 - 3p

(3c -11)/(p^2 +3p) + 8c/( 5p^2 +12p -9) - 8/(5p^2 -3p)

5p^2 +12p -9 ; p = (-12 +/- sqrt(144 +4*9*5)/10 = ( -12 +/- 18)/10

p = -3 , 3/5

=( p+3)(5p -3)

(3c -11)/(p^2 +3p) + 8c/( (p+3)(5p -3) - 8/(5p^2 -3p)

Take LCM as (p +3)p(5p -3)

[ (3c -11)( 5p -3) +8cp - 8(p+3) ]/(p +3)p(5p -3)

=[ 15pc -9c -45p +33 +8pc - 8p -24]/(p +3)p(5p -3)

= [ 23pc -53p -9c+33]/(p +3)p(5p -3)

= ( 23pc -53p -9c +33)/(p +3)p(5p -3)