You can put this solution on YOUR website! There is two different ways to look at this problem here....
(1) (3x/9x)-15 or
(2) (3x)/(9x-15)
notice that in the first one the only numbers underneath the division sign are 9x while in the second one it is assumed that you have (9x-15) under the division sign...
your solution is correct if the problem is like (1) but if problem is like (2) you cannot separate the denominator...
(2) http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.181645.html
You might be correct. It all depends on what you meant by 3x/9x-15.
If you meant:
Then you are absolutely correct.
On the other hand, if you meant:
Then you have a bit of a problem with your process. You cannot separate the terms in a polynomial numerator or denominator and then operate with the separated terms individually. Let me demonstrate on this problem with a couple of simple substitutions:
Let x = 1, then
or let x = 2, then
What you can do with this problem is factor out the 3 that is common to both the numerator and both terms of the denominator and then eliminate it, thus:
And that is as much as you can do with this expression, except to make sure you restrict the value of x such that because that value would make the denominator equal 0.
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