Question

What is the least common denominator of the rational expressions below?

12/x^2 - 11x+30 - 43/x^2-6x

A.x(x-5)(x-6)

B.(x-6)

C.x(x-5)(x-6)^2

D.x(x-5)

Answer 1

B.(x-6)

Explanation:

12/(x^2 - 11x+30) - 43/(x^2-6x)

12/((x - 5) (x - 6)) - 43/x(x-6) [Factoring the denominator]

Both have x-6 common in the denominator,