Final answer:
To express each of the given fractions as single fractions, find a common denominator and combine the fractions.
Step-by-step explanation:
To express each of the following as single fractions:
1/(x+1) + 1/(x+2) - 3/(x^2+3x+2)
We need to find a common denominator for all the fractions. In this case, the common denominator is (x+1)(x+2), which is the product of the denominators.
Using the common denominator, we can rewrite the fractions as:
(x+2)/(x+1)(x+2) + (x+1)/(x+1)(x+2) - 3/(x+1)(x+2)
Combining the fractions, we get:
((x+2) + (x+1) - 3)/(x+1)(x+2)
Simplifying further, we have:
(2x)/((x+1)(x+2))