Question

Math help! Please see attachment!

Answer 1

`x^3-7x^2-14x+120`

Explanation:

The given rational expressions are
`(5)/(x^2-2x-24)` and
`(-2)/(x^2-11x-30)`

The denominators are:

`x^2-2x-24=(x-6)(x+4)`

and

`x^2-11x+30=(x-6)(x-5)`

The least common factor of the denominators is
`(x-6)(x+4)(x-5)`

We expand in we get:

`x^3-7x^2-14x+120`

Therefore the LCD of the given rational expression is:
`x^3-7x^2-14x+120`