Question

What is the sum of 3/x^2-9 and 5/x^3?
D) 8/x^3-9
​D) 8/x^2-9
D) 8/x^3+9 D) 8/x^2+9

Answer 1

To find the sum of 3/x^2-9 and 5/x^3, you need to find a common denominator and combine the fractions.

Step-by-step explanation:

To find the sum of {3/x^2-9} and {5/x^3}, you need to find a common denominator. The common denominator in this case is x^3(x^2-9).

Next, multiply the first fraction, 3/x^2-9, by x^3/x^3 to get 3x^3/x^3(x^2-9).

Then, multiply the second fraction, 5/x^3, by (x^2-9)/(x^2-9) to get 5(x^2-9)/(x^3(x^2-9)).

Now you can add the two fractions together: (3x^3/x^3(x^2-9)) + (5(x^2-9)/(x^3(x^2-9))). Simplifying further, you get (3x^3 + 5x^2 - 45)/(x^3(x^2-9)). Therefore, the sum is (3x^3 + 5x^2 - 45)/(x^3(x^2-9)).