How do you do simplifying Rational expressions?

Answer 1

Original problem: x^2-x-20x2-25/x2-16x^2-x-30

Revised: [(x2 - x - 20)(x2 - 25)] / [(x2 - 16)(x2 - x - 30)]

Solution:

Factor the polynomials:

{[(x - 5)(x + 4)][(x + 5)(x - 5)]} / {[(x +4)(x - 4)][(x - 6)(x + 5)]}

Cancel common factors:

[(x - 5)(x - 5)] / [(x - 4)(x - 6)] ---> Simplest form (or final answer)

(Optional) Expand:

(x2 - 10x + 25) / (x2 - 10x + 24)

Answer 2

you have to simplify the top and cancel out any denominators that equal to nominators