Algebra
posted by Sara .
The answer in the book however says
(5x^217x9)/(x3)(x+2)
so I don't know what I am doing wrong, can you take me step by step through the problem. I have a lot of problems, but I think once I understand what I am doing wrong with this one I can get the rest.
What was the original question?
The original problem was x/(x3)4(2x5)/(x+2)
the original problem is
(x)/(x3)4(2x5)/(x+2)
I posted something before this, so now this is how far I got.
The answer I know is (5x^217x9)/(x3)(x+2)
first I get
(x)(x+2)/(x3)(x+2) (4)(x3)(x+2)/(x3)(x+2)(2x5)(x3)/(x3)(x+2)
Then I get
x^2+2x4x^24x242x^211x+15 (for the top)
When I put everything together I get
(5x^2 13x 9)/ (x3)(x+2)
as you can see however I am having a problem with + and  because I get 13x instead of 17x so could you look at what I am doing wrong and explain it to me?
(x)(x+2)/(x3)(x+2) (4)(x3)(x+2)/(x3)(x+2)(2x5)(x3)/(x3)(x+2)
is ok for the top.
here you are looking at 3 terms, the key is to keep the brackets until you are ready for the subtraction.
You top should have looked like this
x^2+2x(4x^24x24)(2x^211x+15)
which will then become
x^2+2x4x^2+4x+242x^2+11x15
=5x^2 + 17x + 9 for the numerator
I also noticed that you had a 9 at the end in your given answer, it should have been +9 .
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