Ask questions and get helpful answers.

Perform the following operations and prove closure. Show your work.

x over x+3 + x+2 over x+5

x+4 over x^2+5x+6 • x+3 over x^2−16

2 over x^2−9 − 3x over x^2−5x+6

x+4 over x^2−5x+6 / x^2−16 over x+3

Compare and contrast division of integers to division of rational expressions.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩

1 answer

  1. Next time please type your problems in a more normal way

    I will do the 3rd:
    2/(x^2−9) − 3x/(x^2−5x+6)

    step1: try to factor
    = 2/((x+3)(x-3)) - 3x/((x-2)(x-3))
    so the LCD is (x+3)(x-3)(x-2)
    = (2(x-2) - 3x(x+3) )/( (x+3)(x-3)(x-2))
    = (2x - 4 - 3x^2 - 3x) / ( (x+3)(x-3)(x-2))
    = -(3x^2 + x + 4) / ( (x+3)(x-3)(x-2))

    there should have been a restriction stated throughout, namely
    x ≠ ± 3, 2

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.