SOLUTION: Ok, I have to simplify the following expression, (3x^2-9x+6)/(10-5x). For the first expression I got 3x^2-3x-6x+6 which I broke down to 3x(x-1)-6(x-1)=(3x-6)(x-1). So I have (3x-6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Ok, I have to simplify the following expression, (3x^2-9x+6)/(10-5x). For the first expression I got 3x^2-3x-6x+6 which I broke down to 3x(x-1)-6(x-1)=(3x-6)(x-1). So I have (3x-6      Log On


   

Question 208055This question is from textbook Elementary and intermediate algebra
: Ok, I have to simplify the following expression, (3x^2-9x+6)/(10-5x). For the first expression I got 3x^2-3x-6x+6 which I broke down to
3x(x-1)-6(x-1)=(3x-6)(x-1). So I have (3x-6)(x-1)/(10-5x). Ok can this be further simplified? I got stuck here. This question is from textbook Elementary and intermediate algebra

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
YES!! You can factor the numerator and denominator and simplify:

%283x-6%29%28x-1%29%2F%2810-5x%29
%283%28x-2%29%28x-1%29%29%2F%285%282-x%29%29+

You can divide out the x-2 and the 2-x, which leaves a factor of -1.
%283%2A-1%2A%28x-1%29%29%2F5

%28-3%28x-1%29%29%2F5

R^2

Dr. Robert J. Rapalje
Seminole Community College
Altamonte Springs Campus
Florida