SOLUTION: Reduce each rational expression to lowest terms. 3x^2 – 9x + 6 over 10 – 5x

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Reduce each rational expression to lowest terms. 3x^2 – 9x + 6 over 10 – 5x       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 209005: Reduce each rational expression to lowest terms.
3x^2 – 9x + 6 over 10 – 5x

Answer by stanbon(57361) About Me  (Show Source):
You can put this solution on YOUR website!
Reduce each rational expression to lowest terms.
3x^2 – 9x + 6 over 10 – 5x
------------------------
Factor to get:
[3(x^2-3x+2)]/[5(2-x)]
---
= [3(x-2)(x-1)]/[-5(x-2)]
---
Cancel the common factor (x-2)
= [3(x-1)]/[-5]
---
= (-5/3)(x-1)
====================
Cheers,
Stan H.