Simplify into one fraction 3÷x-3-5÷x-2

Assuming it is 3/(x-3) - 5/(x-2)

(-2x-16)/((x^2)-5x+6)

Step-by-step explanation:

First you need to find a common denominator.

(x-3)(x-2)

The you need to get each fraction to the common denominator by multiplying each fraction by what it doesn't have from the common denominator. So...

3/(x-3)

Would become...

3(x-2)/(x-3)(x-2)

Do the same to the other side. So...

5/(x-2)

Would become...

5(x-3)/(x-3)(x-2)

The subtract. So...

3(x-2)/(x-3)(x-2) - 5(x-3)/(x-3)(x-2)

Would become...

(3(x-2) - 5(x-3))/(x-3)(x-2)

Then distribute.

(3x-6-5x-10)/((x^2)-3x-2x+6)

Then combine like terms to get you final answer.

(-2x-16)/((x^2)-5x+6)

the function makes a strait line horizontally with no x intercept but a y intercept at 9.