Question

Please I really need help with this

Answer 1

(-20x -25)/(x^2-x-30)

Explanation:

You want to simplify the rational expression (3x²)/(x²-x-30) -(3x+5)/(x-6).

Use a common denominator

Usually these problems are constructed so that the higher-degree polynomial denominator has the lower degree denominator as a factor. That is the case here.

`(3x^2)/(x^2-x-30)-(3x+5)/(x-6)=(3x^2)/((x+5)(x-6))-((x+5)(3x+5))/((x+5)(x-6))\\\\=(3x^2-(3x^2+20x+25))/(x^2-x-30)`

Simplify

`=\boxed{(-20x-25)/(x^2-x-30)}`