Post a New Question

Dividing Rational Expressions

posted by .

x^3-8/x^2-4 divided by (x^2+2x+4)/(x^3+8). This becomes ((x-2)(x^2+2x+4)/(x+2)(x-2) times ((x+2)(x^2-2x+4))/(x^2+2x+4). I understand that (x-2)(x^2+2x+4)=(x^3-8) when I distribute it, however, if I didn't have the help of my book, I'd have no clue how to come up with this on my own. Is there a general rule for how to distribute x's to the third power? Thank you!!

  • Dividing Rational Expressions -

    yes!
    We can factor both the sum and the difference of cubes

    A^3 + b^3 = (A+B)(A^2 - AB + B^2) and
    A^3 - b^3 = (A-B)(A^2 + AB + B^2)

    that is where those factors came from.
    Most of the stuff canceled and you should have had x^2 - 2x + 4 as the answer.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Rational Expression

    (x+1/2x-1 - x-1/2x+1) * (2x-1/x - 2x-1/x^2) (x+1/2x-1 - x-1/2x+1)*(2x-1/x - 2x-1/x^2) The first parenthesis reduces to zero. Check that. I have the answers in the back of my book (just not how to get there) the book shows the answer …
  2. Algebra 2

    I need help!!!! I have a paper entitled Study Guide and Intervention: Multiplying and dividing Rational expressions?
  3. math,help

    Okay i am still trying to understand how to come up with a radical expressions and their applications, and apply to your daily life. I need more examples if any can help me out .... Is there a way of modeling it if i wanted to use …
  4. Algebra

    Hi I am in need of help, please... The question says to perform the indicated operation. x^2+2x-3/x^2-9 Divided By x^2-1/x^3-27 I put divided by in the middle to show that it is dividing two rational expressions.
  5. Algebra

    I am supposed to "write each expression with a rational denominator" 1/thesqrootof 3. I follow the book's explanation, until it suggests dividing the sq. root of 3 by the square root of 3 times the square root of three. I do not understand …
  6. Imaginary Number i

    I'm have a few questions about i: -How come sometimes you solve to get rid of it, other times you leave the it?
  7. math

    Multiplying and Dividing Rational Expressions: 1. 2x^4/x^5 times 6x/x^3 times x/4= 3/x^2
  8. math

    Multiplying and Dividing Rational Expressions: 2) x^2-8x+7/x^2+6x-7 = (x-7)/(x+7) 3) x^2-5x+6/x+4 times 3x+12/x-2 =3(x-3) 4)2x-3/5x+1 divided by 6x^2-13x+6/15x^2-7x-2=1 5) x^3-9x/x^2+11x+24 times x^2+7x-8/x^2-4x+3= x(x-3)(x-1)/(x+3)(x+8) …
  9. math

    Multiplying and Dividing Rational Expressions: 2) x^2-8x+7/x^2+6x-7 = (x-7)/(x+7) 3) x^2-5x+6/x+4 times 3x+12/x-2 =3(x-3) 4)2x-3/5x+1 divided by 6x^2-13x+6/15x^2-7x-2=1 5) x^3-9x/x^2+11x+24 times x^2+7x-8/x^2-4x+3= x(x-3)(x-1)/(x+3)(x+8) …
  10. math

    Multiplying and Dividing Rational Expressions: 1. 2x^4/x^5 times 6x/x^3 times x/4= 3/x^2

More Similar Questions

Post a New Question