Precalculus
posted by Kate .
Hello,
Thanks for all of the help guys. I really appreciate it.
I was woudnering if you could show me how to do this step by step and the thought process that goes through your head while you do this. This way I will be able to try to solve some of these problems on my own becasue I really have no idea how to do them.
Perform the indicated operation and simplify the ersult. Leave your anser in factored form.
1/x  2/(x^2 + x) + 3/(x^3  x^2)
THANK YOU!!!

remember to add/subtract fractions we need a common denominator.
let's write our expression in factored form
1/x  2/(x^2 + x) + 3/(x^3  x^2)
= 1/x  2/[x(x+1)] + 3/[x^2(x1)]
so the common denominator is x^2(x+1)(x1)
first term: x(x+1)(x1)/[x^2(x+1)(x1)]
notice if we cancel we get 1/x
second term: 2x(x1)/[x^2(x+1)(x1)]
again, see what you get when you cancel
third term: 3(x+1)/[x^2(x+1)(x1)]
so we get
[x(x+1)(x1)  2x(x1) + 3(x+1)]/[x^2(x+1)(x1)]
I will let you finish it,
(I got (x^3  2x^2 + 4x + 3)/[x^2(x^2  1)] 
I bet you have a sign wrong but will do as shown.
1/x
2/[x(x+1)]
+3/[x^2(x1)]
we need a common denominator
need LCD = x^2 (x1)(x+1) = x^2(x^21)
so
1[(x)(x+1)(x1)]/LCD
2 [ (x)(x1) ] /LCD
+3 [ (x+1 ] / LCD
then
[1 (x(x^21) 2 (x^2x) +3 (x+1) ]/LCD
[ x^3x 2x^2 +2x +3x+3 ]/LCD
(x^3 2x^2 +4x +3)/[x^2(x^21)]
I could not simplify, suspct mistake but that is the idea. 
Oh, I see Reiny got the same answer. If you typed it right the answer is right.
Respond to this Question
Similar Questions

Math  Algebra II
Hello, i'm currently doing functions and I was fine until I got to multiplication. I really don't know what i'm doing, and would really appreciate a step by step on a few questions. f(x) = 3x + 9 g(x) = 8x + 7 Find g(f(x)) I got 24x … 
Algebra help
f(x)=x^34x^2x+4 How do I find the xintercept for this? 
english!
Make sure you understand the topic(s) is a step in the research process. (A) This step needs to be done as soon as your research is completed. (B) This step is the last step in the research process. (C) Always ensure you grasp the … 
Chemistry
When 100mL of 1.00 M Ba (NO3)2 and 100 mL of 1.00 M Na2SO4, both at 25 degrees celsius, are mixed in a constant pressure calorimeter, a white precipitate is formed and the temperature rises to 28.1 degrees celsius. A. What is the precipitate? 
Math !!!!!!!!
Ok i have a Summer Math Assignment & i really need help on this qs. it's part B of the qs. so i'll show you the whole thing Part 2. Extended Reponse Qs. (2 points each) Answer each qs.. Show all Work Qs. 5 Adrian correctly solved two … 
chemistry
How many moles of ammonium ions are in 8.794g of ammonium carbonate? 
alg2 check?
solve: 2x+2(x+3)=2(x+7) what I got was x=4 but I really think I calculated wrong. Can you show me the step by step process please? 
Maths!
Find the sum of all multiples of 5 between 100 and 300 inclusive. Ans: 8200 I do not know how to do this. Really do appreciate step by step workings and explanation. Thanks! 
chemistry step by step for me thank a lot
What is the weight of ca(oh)2 required for 10 litre of water remove temporary hardness of 100 ppm due to ca(H03)2 The answer 0.74 Thank all tutors for your help Pls show step by step for me 
Calculus
Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives section...in Calculus II?