What is the simplified form of ether following expression ?

Question

asked Jul 14, 2021 184k views

1 Answer

Thomas Witt · Answer 1 · 2021-07-18T08:22:38+0000

Answer:

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.