algebra

perform the indicated operation and simplify:
3x+6 x^2-4
----- divided by -----
4x+12 x-3

  1. 👍 0
  2. 👎 0
  3. 👁 174
  1. (3x+6)/(4x+12) / (x^2 - 4)/(x-3)
    first, to divide, we get the reciprocal of the divisor (or the second term/ term at the right) and the operation will be multiplication. reciprocal is just interchanging the numerator and denominator terms. thus,
    (3x+6)/(4x+12) * (x-3)/(x^2 - 4)
    factoring out each term,
    [3(x+2)]/[4(x+3)] * (x-3)/[(x-2)(x+2)]
    we can cancel out x+2:
    [3(x-3)]/[4(x+3)(x-2)] or
    (3x - 9)/(4x^2 + 4x - 24)

    hope this helps~ :)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. history

    What was the name used for the beach landings at Normandy, France, on June 6, 1944? Operation Avalanche Operation Overlord Operation Barbarossa Operation Market Garden a

    asked by me on February 9, 2019
  2. math

    Perform the indicated operation and simplify the result if possible. 2 ft. 11 in. + 7 ft. 3 in. A. 9, 2 B. 10, 4 C. 9, 3 D. 10, 2 ? not sure

    asked by bev on June 11, 2017
  3. Pre calc

    Perform the indicated operation and simplify the result . Cot x(tan x- sec x) Please help , I am struggling a lot !! Thank you!!!

    asked by Jacob on January 18, 2018
  4. Math

    Perform the indicated operation and simplify the result if possible. 20 yd. 2 ft. + 12 yd. 2 ft.

    asked by Tiffany on February 19, 2019
  1. Estimation decimal quotient

    Use compatible numbers to find the each quotient ,2.90 divided by 29,48 divided by 3.2, 0.18 divided by 0.33,152 divided by 5.12,41.9 divided by 19,33.90 divided by 10.2, 502 divided by 9.5, 180.8 divided by 6 , 48 divided by

    asked by Juliet on October 19, 2014
  2. algebra

    Perform the indicated operation. x/2+y/3-z/4

    asked by kendra on April 23, 2014
  3. college algebra

    1. divide and simplify x^2+x-56/x^1-1 / x-7/2x+2 2. find the product in simplest from for x^2+x-6/2x^2-x-3 * x^7-2x^6+4x^5/x^4+8x 3. perform the indicated operations and simplify: 2/3x +4/3x^2 y^4 -6/2x^4 y^5 4. perform the

    asked by ashley on September 1, 2014
  4. algebra

    Perform the indicated operation and, if possible, simplify. Please show all of your work. Write your final answer exactly as a fraction in lowest terms. 14/45 / 26/27

    asked by Anonymous on October 12, 2011
  1. Math

    I am doing my math homework and I am confused. Please help solves these questions and tell me what operation I should use? Is it order of operation or? 1)simplify8x8-8x5+7 2)simplfiy5-6x10-16 3)simplify 4x(4+2)/(1+2)

    asked by Jackey on August 26, 2013
  2. Algebra

    Perform the indicated operation or 6x/16+1/16

    asked by Andrea on October 3, 2014
  3. math

    Perform indicated operation and simplify 5/8 + 7/10

    asked by Esther on September 7, 2015
  4. math

    Perform and indicate operation and simplify 5/8+7/10

    asked by Esther on September 7, 2015

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