Step 1 :Subtract the fractions \(\frac{8}{a+1}-\frac{5}{a+1}\).
Step 2 :Since the two fractions have the same denominator, we can subtract the numerators directly. The result will be \(\frac{8-5}{a+1}\).
Step 3 :Simplify the fraction to get the final answer: \(\boxed{\frac{3}{a+1}}\).