SOLUTION: Please help. These are the hardest for me? Multiply. 4x-24/x^2-2x * 8x/6-x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help. These are the hardest for me? Multiply. 4x-24/x^2-2x * 8x/6-x       Log On


   

Question 80174: Please help. These are the hardest for me?
Multiply.
4x-24/x^2-2x * 8x/6-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284x-24%29%2F%28x%5E2-2x%29%29%28%288x%29%2F%286-x%29%29

%284%28x-6%29%2F%28x%5E2-2x%29%29%28%288x%29%2F%286-x%29%29 Factor out a 4 out of 4x-24 to get 4%28x-6%29

%284%28x-6%29%2F%28x%28x-2%29%29%29%28%288x%29%2F%286-x%29%29 Factor out an x out of x%5E2-2x to get x%28x-2%29

%284%28x-6%29%2F%28x%28x-2%29%29%29%28%288x%29%2F%28-%28x-6%29%29%29 Factor out a negative 1 out of 6-x to get -%28x-6%29

Notice we have these common terms

%284%2F%28x-2%29%29%288%2F%28-1%29%29 They divide and cancel to 1

%284%2A8%2F%28-1%28x-2%29%29%29 Multiply

-32%2F%28x-2%29Multiply everything out to simplify and divide by -1 to make the whole expression negative. This is our simplified answer.