SOLUTION: please help me with this one. multiply(3x-27)/(x^2-10x) by 6x/(9-x)

Algebra ->  Exponents -> SOLUTION: please help me with this one. multiply(3x-27)/(x^2-10x) by 6x/(9-x)      Log On


   

Question 119843: please help me with this one.
multiply(3x-27)/(x^2-10x) by 6x/(9-x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283x-27%29%2F%28x%5E2-10x%29%29%28%286x%29%2F%289-x%29%29 Start with the given expression

%28%283%28x-9%29%29%2F%28x%5E2-10x%29%29%28%286x%29%2F%289-x%29%29 Factor 3x-27 to get 3%28x-9%29

%28%283%28x-9%29%29%2F%28x%28x-10%29%29%29%28%286x%29%2F%289-x%29%29 Factor x%5E2-10x to get x%28x-10%29

%28%283%28x-9%29%29%2F%28x%28x-10%29%29%29%28%286%28x%29%29%2F%289-x%29%29 Factor 6x to get 6%28x%29


%283%28x-9%29%29%2F%28x%28x-10%29%29%29%286%28x%29%29%2F-%28x-9%29%29 Factor a -1 from 9-x to get -%28x-9%29


3%28x-9%296%28x%29%2F%28-x%28x-10%29%28x-9%29%29 Combine the fractions



3cross%28%28x-9%29%296cross%28x%29%2F%28-cross%28x%29%28x-10%29cross%28%28x-9%29%29%29 Cancel like terms



3%2A6%2F%28-%28x-10%29%29 Simplify



-18%2F%28x-10%29 Multiply