# How do you simplify #(x^2 – x – 6 )/(x^2 – 9x + 18 )#?

#(x^2-x-6)/(x^2-9x+18)=(x+2)/(x-6)=1+8/(x-6)#

excluding

By signing up, you agree to our Terms of Service and Privacy Policy

To simplify the expression (x^2 – x – 6)/(x^2 – 9x + 18), we can factor both the numerator and denominator.

The numerator can be factored as (x – 3)(x + 2), and the denominator can be factored as (x – 3)(x – 6).

Now, we can cancel out the common factor of (x – 3) from both the numerator and denominator.

Therefore, the simplified form of (x^2 – x – 6)/(x^2 – 9x + 18) is (x + 2)/(x – 6).

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7