AP Calc.

posted by .

Simplify:

[(x^-3)-x]/[(x^-2)-1]

  • AP Calc. -

    x^3-x = x(x^2-1)

  • AP Calc. -

    I don't get it...

  • AP Calc. -

    sure you do. factor out x^2-1 top and bottom

  • AP Calc. -

    but don't you have to get rid of the negative exponents somehow..?

  • AP Calc. -

    sorry. I missed the negative exponents.

    (x^-3 - x)/(x^(-2)-1)

    (1 - x^4)/x^3 / (1-x^2)/x^2

    (1-x^4)/x^3 * x^2/(1-x^2)

    (1-x^2)(1+x^2) / x(1-x^2)

    (1+x^2)/x

  • AP Calc. -

    How did you go from the original question to the 1st step?

  • AP Calc. -

    1/x^3 - x

    over a common denominator of x^3, x = x^4/x^3

  • AP Calc. -

    ohmygosh.. i'm an idiot.. thank you! you're the bestt!(:

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. pre-calc

    what does this simplify to: f(x)=x/(x+4)^(1/5)-2
  2. Pre Calc

    Simplify (n+1)!/(n-1)! Help please?
  3. Calc. Help

    Simplify. #1. 5(2-i) - 3(4+3i) ..my work: 10-5i-12-9i -2-14i Do you leave this as the answer or can you simplify it further?
  4. Pre Calc

    Simplify: n!-(n-1)! --------- (n-1)!
  5. pre calc

    simplify: 2^x X 2^y +2^x X 2^y + 2^x X 2^y + 2^x X 2^y
  6. Calc AB

    (1/(x+h))-(1/x) ..simplify
  7. calc

    How do you simplify tan(sin^-1 (x)) ?
  8. pre-calc

    How do u solve (f-g)(x) when f(x)=4x/7 +7 and g(x)=-6/x Ok so its (f-g)(x)=4x/7 +7 - (-6/x) But how do u simplify it from there?
  9. Calc AB

    How do you simplify: (x^(3/2))(x+x^(5/2)-x^2)
  10. Calc

    Simplify Sq. rt of 5 +4t^2

More Similar Questions