The answer in the book however says


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/(x-3)-4-(2x-5)/(x+2)

the original problem is


I posted something before this, so now this is how far I got.
The answer I know is -(5x^2-17x-9)/(x-3)(x+2)

first I get

(x)(x+2)/(x-3)(x+2)- (4)(x-3)(x+2)/(x-3)(x+2)-(2x-5)(x-3)/(x-3)(x+2)
Then I get

x^2+2x-4x^2-4x-24-2x^2-11x+15 (for the top)

When I put everything together I get

(-5x^2 -13x -9)/ (x-3)(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)/(x-3)(x+2)- (4)(x-3)(x+2)/(x-3)(x+2)-(2x-5)(x-3)/(x-3)(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


which will then become
=-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 .

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Chemistry: Electron Configurations

    Write the electron configuration for the following ion. V3+ I got 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2. In simplified form, I got [Ar]4s^2. I checked my answer against the answer given in the back of my chemistry textbook, and the two

  2. Math

    A positive integer n is defined as a "prime interlude" if n-1 and n+1 are both prime numbers. Which of the following is not a "prime interlude?" a.4 b.18 c.30 d.72 e.90 ( First of all; What is a "prime interlude??") I don't

  3. Mathematics

    The diagram below shows the method of construction of a book with four folded sheets in each block, and three blocks in total. Page one is the first page of the first block of four sheets. At the centre of each block, you can see

  4. Physics

    Mark's physics book is on the desk. Mark pushes horizontally (from the side) on the book, but the book does not move. Which force diagram represents the force on the physics book? You may neglect air resistance. a) A box with two

  1. Algebra 2

    Examine the polynomial p(x)=6x^3+17x^2−24x−35. Use the Factor Theorem to identify which binomial is a factor of p(x). a.3x+5 b.2x+7 c.x−1 d.2x−7 I thought that 2x+7 was a factor of p(x) but I don't know and I am confused

  2. polynomials

    (3+7x)-(16x2+15x2) (3+1x)-(12x+16+0+18x2) Q4: (15+13x2+14x2)+(13x+18x) Q5: (2x2+1+15x2+7+3)+(0x+17x) Q6: (18x+3)+(17x2+1x2+9+8+0x) Q7: (6x + 14) - (9x + 5) Q8: (14x2 + 13x + 12) - (7x2 + 20x + 4) Q9: Subtract -10x2 + 16x - 15 from

  3. Maths

    How do I write an equivalent expression to the expression below (17x 93) / (17x 97)

  4. Science

    The question in the book says: A wave has a wavelength of 2mm and a frequency of 3 Hz. At what speed does the wave travel? I know the answer is 6, because the formula is Speed= Wavelength X Frequency, but I don't know how to write

  1. Writing Skills

    The call number of the book that you're looking for is R865.2. What do you know about the book based on this information? A. It's a book of or about Roman literature. B. It's a book about medicine. C. It's a reference book. D.

  2. Math

    solve the equation 20x^3 +44x^2 -17x -5 given that -5/2 is a zero of f(x) 20x^3 +44x^2 -17x -5 I used synthetic division and got 20x^2-6x-2=0 took 2 and divided it out of that equation 2(x+5/2)=10x^2 -3x-1 then i factored it out

  3. physics

    A hydraulic jack in a gas station lifts a 900kg car a distance of .25cm When a force of 150N pushes a piston through a distance of 20cm Find the IMA (book answer is 80) AMA (book answer is 59) Efficency (book answer is 74%) can

  4. Chemistry

    "What volume of water must be added to 100ml of 15 M of H2SO4 to dilute to 5.0M?" I've tried using lots of different methods but keep having the same answer and don't know if the answer book is wrong or if it's me. Thanks!

You can view more similar questions or ask a new question.