SOLUTION: I am trying to help my son with this question: 6x-3 ______ 5x^2 _________ 2x-1 ______ 10x I hope I wrote this so you can understand. It's one problem

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am trying to help my son with this question: 6x-3 ______ 5x^2 _________ 2x-1 ______ 10x I hope I wrote this so you can understand. It's one problem      Log On


   

Question 267520: I am trying to help my son with this question:
6x-3
______
5x^2
_________
2x-1
______
10x
I hope I wrote this so you can understand. It's one problem
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I am trying to help my son with this question:
%28%286x-3%29%2F%285x%5E2%29%29%2F%28%282x-1%29%2F%2810x%29%29

That is the same as

%286x-3%29%2F%285x%5E2%29%22%F7%22%282x-1%29%2F%2810x%29

Now invert the second fraction and change the division sign
to multiplication (we use * instead of "×" so we don't confuse
it with the variable x}

%286x-3%29%2F%285x%5E2%29%22%2A%22%2810x%29%2F%282x-1%29

Factor the left numerator:

%283%282x-1%29%29%2F%285x%5E2%29%22%2A%22%2810x%29%2F%282x-1%29

Indicate the multiplication of the numerators over the
indicated multiplication of the denominators:

%283%282x-1%29%2810x%29%29%2F%285x%5E2%282x-1%29%29

Cancel the %282x-1%29's

%283%28cross%282x-1%29%29%2810x%29%29%2F%285x%5E2%28cross%282x-1%29%29%29

That leaves:

%283%2A%2810x%29%29%2F%285x%5E2%29

Cancel the 5 into the 10, getting 2 in the top:

   2
%283%2A%28cross%2810%29x%29%29%2F%28cross%285%29x%5E2%29

That leaves

%286x%29%2F%28x%5E2%29

The x in the top cancels the square in the bottom:

%286cross%28x%29%29%2F%28x%5Ecross%282%29%29

And the final simplified answer is

6%2Fx

Edwin