Question

What is the simplified form of ether following expression ?

Answer 1

C

Explanation:

So we have the rational expression:

`(x^2-11x+30)/(x^2-x-30)`

We can factor the numerator and the denominator:

Numerator:

`x^2-11x+30`

Factor:

`(x-5)(x-6)`

Denominator:

`x^2-x-30`

Factor:

`(x-6)(x+5)`

Substitute:

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

We can cancel out the (x-6). Thus:

`=(x-5)/(x+5)`

Our answer is C.