Simplify 9/(x^2)+9/(x^3)

Problem

9/(x^2)+9/(x^3)

Solution

1. Identify the least common denominator (LCD) for the two fractions, which is x^3

2. Rewrite the first fraction by multiplying both the numerator and the denominator by x to achieve the common denominator.

(9⋅x)/(x^2⋅x)=(9*x)/(x^3)

3. Combine the numerators over the common denominator.

(9*x)/(x^3)+9/(x^3)=(9*x+9)/(x^3)

4. Factor the numerator to provide the simplest form of the expression.

(9*(x+1))/(x^3)

Final Answer

9/(x^2)+9/(x^3)=(9*(x+1))/(x^3)

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