# How do you simplify #(5)/(x-3) + (x)/(x^2-9)#?

By signing up, you agree to our Terms of Service and Privacy Policy

To simplify the expression (5)/(x-3) + (x)/(x^2-9), we first need to find a common denominator. The common denominator for these two fractions is (x-3)(x+3).

Next, we can rewrite the fractions with the common denominator:

(5)/(x-3) + (x)/(x^2-9) = (5(x+3))/((x-3)(x+3)) + (x)/(x^2-9)

Now, we can combine the fractions by adding the numerators:

(5(x+3) + (x))/(x^2-9) = (5x + 15 + x)/(x^2-9)

Simplifying the numerator:

(6x + 15)/(x^2-9)

This is the simplified form of the expression (5)/(x-3) + (x)/(x^2-9).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- If y varies inversely as x and y = 320 when x = 25, how do you find y when x is 40?
- How do you simplify #x^3/ (x^2-y^2) + y^3/( y^2-x^2)#?
- How do you solve #(5m)/6 + (2m)/3 = 9/2#?
- How do you combine #(4a-2)/(3a+12)-(a-2)/(a+4)#?
- What are the vertical and horizontal asymptotes of #f(x)=5/((x+1)(x-3))#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7