What is the sum of the rational expressions below? 2x/ x+2 + x/ x-3

3x^2-4x/x^2-x-6

Step-by-step explanation:

How to find denominator:

Since the expressions do not share the same denominator, we must find the common denominator. To do that, you must multiply (x+2)(x-3). That gives us x^2-x-6. So, x^2-x-6 is the denominatar.

How to find numerator:

Because we multiplied x+2 by x-3 we must multiply the numerator of that expression by x-3. Which gives us 2x^2-6. To add on, Because we multiplied x-3 by x+2 we must multiply the numerator of that expression by x+2 as well. Which gives us x^2+2x. We add 2x^2-6x and x^2+2x to get the simplified numerator, 3x^2-4x.

I Hope this helped. ~_~

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step-by-step explanation: