Perform the indicated operation and simplify if possible. Assume any factors you cancel are not zero.

Question

s/(s^2-5s-24)-4/(s+3)

Answer 1

factor it first

s/(s^2-5s-24)-4/(s+3)
= s/( (s-8)(s+3)) - 4(s+3) , LCD = (s-8)(s+3)

= ( s - 4(s-8) )/((s-8)(s+3))
= (32 - 3s)/((s-8)(s+3))
or
= - (3s-32)/((s-8)(s+3))