algebra

posted by .

What is the quotient in simpliest form? State any restrictions on the variable.
x+2/x-1 divided by x+4/x^2+4x-5.

My answer (x+2)(x+5)/x+4; don't get the restriction part either -5,-4 or 1,-4,-5

Can someone please help?

  • algebra -

    For typing of this kind of question in this format, brackets are of critical importance

    I will assume you meant:

    (x+2)/(x-1) ÷ ( (x+4)/(x^2 + 4x - 5) )

    then..

    = (x+2)/(x-1) * (x^2 + 4x - 5)/(x+4)
    = (x+2)/(x-1) (x+5)(x-1)/(x+4)
    = (x+2)(x+5)/(x+4) , x ≠ 1, -5,-4

    In the original divisor of (x+4)/((x-1)(x+5)
    is x = 1 or -5, that expression would be undefined, so we restrict those values

    similarly looking at the final answer, we are dividing by x+4.
    If x = -4 , we could be dividing by zero, a no-no
    So we have restrictions of 1, -5, -4

    your answer is correct, other than the above restrictions.

  • algebra -

    mlg

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Please help! Simplify the rational expression. State any restrictions on the variable. 6c^2+9c ------- 3c divide 3c into each of the numerator terms. 2c + 3 Another way: Factor the numerator to get 3c(2c + 3) now you have 3c(2c + 3)/3c= …
  2. algebra 2

    1.Simplify the difference. n^2 - lOn+24 9 / n^2 - 13n + 42 — 7 A. n-13/n-7 <<< B. n-4/n-7 C. n-13 2.Simplify the complex fraction. y-1/y^2+y-6/y-6/y+3 A.(y-1)(y-6)/(y+3)^2(y-2) B. y-1/(y-6)(y-2) C.(y-1)(y-6)/(y+3)(y-2)<<< …
  3. algebra

    Simplify the rational expression state any restrictions on the variable t^2+2t-24 / t^2-36 I got t-4 / t-6, but Im not sure of the restrictions whether its 6 or -6,6
  4. algebra

    What is the product in simpliest form state any restrictions on the variable x^2+7x+10 / x+3 times x^2-3x-18 / x^2+x+2 I got (x+5)(x-6) / x-1, not sure on restrictions either 1 or -3,-2, and 1
  5. algebra

    what is the quotient in simpliest form state the restrictions on the variable z^2-4/z-3 divided z+2/z^2+z-12 i got z^2+2x-8 but am not sure of the restrictions maybe 3,-2
  6. Math

    Can someone please help me with these two. What is the quotient (6-x)/(x^2+2x-3)÷(x^2-4x-12)/(x^2+4x+3) in simplified form?
  7. 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 3.33, …
  8. algebra

    What is the quotient in simplest form? state any restrictions on the variable x^2/x+4 divided by x-2/x^2+x-12
  9. Algebra 2 help plsss?

    what is a simpler form of the radical expression?
  10. Algebra

    What is the quotient 6-x/x^2+2x-3 divided by x^2-4x-12/x^2+4x+3 in simplified form?

More Similar Questions