SOLUTION: simplify completely: (x^2 -6x +9)/(-24x) divided by (x-3)/(-6x) the choices are: (x-3)/4 (x+9)/4x (x+3)/4 -5x-3

Algebra ->  Equations -> SOLUTION: simplify completely: (x^2 -6x +9)/(-24x) divided by (x-3)/(-6x) the choices are: (x-3)/4 (x+9)/4x (x+3)/4 -5x-3      Log On


   

Question 116825: simplify completely: (x^2 -6x +9)/(-24x) divided by (x-3)/(-6x)
the choices are:
(x-3)/4
(x+9)/4x
(x+3)/4
-5x-3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2+-6x+%2B9%29%2F%28-24x%29%29%2F%28%28x-3%29%2F%28-6x%29%29

Just like when you first learned to divide fractions, the rule is "invert and multiply," so:



Now, let's factor the first term numerator:

%28%28x-3%29%28x-3%29%2F%28-24x%29%29%2A%28%28-6x%29%2F%28x-3%29%29

And remove common factors from numerator and denominator:



I believe that is your answer a -- Final Answer, Regis.

Hope that helps,
John