Simplify 1/x+1/(x^2)+1/(x^3)

Problem

1/x+1/(x2)+1/(x3)

Solution

1. Identify the least common denominator for the three fractions, which is x3

2. Rewrite each fraction with the common denominator by multiplying the numerator and denominator by the necessary power of x

3. Multiply the first term by (x2)/(x2) to get (x2)/(x3)

4. Multiply the second term by x/x to get x/(x3)

5. Combine the numerators over the common denominator.

Final Answer

1/x+1/(x2)+1/(x3)=(x2+x+1)/(x3)

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