simplify the rational expression completely:

Question

show step by step work:

18x-6x² ⁄ 3x-9

Answer 1

Hi Mona H.

(18x - 6x²)/(3x - 9)

Factor out negative 6x from the numerator and positive 3 from the denominator

-6x(-3 + x)/3(x - 3) since

-3 + x = x - 3

-6x(x - 3)/3(x - 3)

The quantity (x - 3) cancels out as it is common to the numerator and denominator leaving

-6x/3 = - 2x

Hope this helps