Answer :
Final answer:
To subtract the given expressions, you need to have a common denominator. Combine the numerators and simplify to get the final answer: (s²+s-4)/(s²+4s+3).
Explanation:
To subtract the given expressions, we need to have a common denominator. In this case, both expressions have the denominator s²+4s+3. We can then combine the numerators and simplify:
(s²-s-2)/(s²+4s+3) = ((s-2)(s+1))/(s²+4s+3)
Now, we can subtract the fractions:
((s-2)(s+1))/(s²+4s+3) - (2)/(s²+4s+3) = ((s-2)(s+1)-2)/(s²+4s+3)
Expanding the numerator gives: ((s²-s+2s-2)-2)/(s²+4s+3) = (s²+s-4)/(s²+4s+3)
Therefore, the simplified answer is (s²+s-4)/(s²+4s+3).
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