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Express each of the following as single fractions 1/X+1 + 1/X+2-3/x²+3x+2


User Kgx
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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))

User Rishabh Chandel
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