Algebra

O.k. this is similar to the other one I posted. There is a technique in my book how to solve similar ones but the examples aren't so good, so I have no clue were to even start.

1-(1/x)-(12/x^2)
----------------divide top by bottom
1+(6/x)+(9/x^2)

Here are some of my questions.
Do I need to find the LMC and what would that be? Is it x?
I need some guidance on this problem, explanations are welcome.

Here is a good "trick", perhaps it is the one your book is using.

Find the LCM of your denominators and then multiply each term on the top and each term on the bottom by that.
In this case the LCM is x^2, so let's multiply through by that

(x^2 - x - 12)/(x^2 + 6x + 9)

look how easy your expression now looks, on top of that, it factors!!! Yeah!

[(x-4)(x+3)]/[(x+3)(x+3)]
=(x-4)/(x+3), where x is not equal to 3, or else we just divided by zero.

Here is a good "trick", perhaps it is the one your book is using.

Find the LCM of your denominators and then multiply each term on the top and each term on the bottom by that.
In this case the LCM is x^2, so let's multiply through by that

(x^2 - x - 12)/(x^2 + 6x + 9)

look how easy your expression now looks, on top of that, it factors!!! Yeah!

[(x-4)(x+3)]/[(x+3)(x+3)]
=(x-4)/(x+3), where x is not equal to 3, or else we just divided by zero.

My last line should have said:

=(x-4)/(x+3), where x is not equal to -3, or else we just divided by zero.

  1. 👍 0
  2. 👎 0
  3. 👁 75
asked by Sara

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Solve the linear equation using any technique you have learned. Name the technique. Check. 3x + 12 = -7x - 28 I know the answer is x = -4 and I know that substitution is the technique that is used, but I can't figure out how to

    asked by lovey on February 21, 2010
  2. Math

    Solve the quadratic equation using any technique you wish. Name the technique. Check. 12x2 + 10x = 0

    asked by Crystal on February 20, 2010
  3. Math

    Solve the quadratic equation using any technique you wish. Name the technique. Check. 12x2 + 10x = 0

    asked by Tim on January 17, 2010
  4. Math

    Solve the quadratic equation using any technique you wish. Name the technique. Check. 12x2 + 10x = 0

    asked by Anna on December 20, 2009
  5. chemistry

    8.09% carbon, 0.34% hydrogen, 10.78% oxygen, and 80.78% bromine its similar to the last one i posted empirical formulas

    asked by tula on February 23, 2013
  6. Math

    Solve the linear equation using any technique you have learned. Name the technique. Check. 3x + 12 = -7x - 28

    asked by Tim on January 17, 2010
  7. Math

    Solve the linear equation using any technique you have learned. Name the technique. Check. 3x + 12 = -7x - 28

    asked by Crystal on February 20, 2010
  8. Calculus

    Which would be the best option for finding the limit? lim (1-2x-3x^2)/1+x x->-1 A.Direct substitution B.Dividing out technique C.Rationalization technique D.Indeterminate form

    asked by Sade on December 12, 2016
  9. Secondary school Chemistry

    Describe in general how chromatography technique can be used to analyses food to identify if it contains any poison? and also Explain the benefits and limitation of the technique used

    asked by JazzMusick on October 3, 2010
  10. Math

    I need help with this problem. The question is : Find the exact value of the following expression. 6*22*5. Use any mental calculation technique you choose. Name the technique you use in each case. Here is what I have: 60*(20+2)*5

    asked by B.B. on June 9, 2009

More Similar Questions