posted by .

least common denominator for these two rational expressions. ( / stands for fraction bar and the ^ means it's squared. i don't understand these at all.

a/ a^2-36


  • algebra -

    a^2 - 36 = (a+6)(a-6)
    a^2 + 5a - 6 = (a+1)(a-6)

    So, the LCD = (a+6)(a-6)(a+1)

    to add them ,you'd do

    a/(a+6)(a-6) + 2a/(a+1)(a-6)
    = a(a+1)/(a+6)(a-6)(a+1) + 2a(a+6)/(a+6)(a-6)(a+1)
    = (a^2 + a + 2a^2 + 12a)/(a+6)(a-6)(a+1)
    = (3a^2 + 13a)/(a+6)(a-6)(a+1)
    = a(3a+13)/(a+6)(a-6)(a+1)
    = a(3a+13)/(a^3+a^2-36a-36)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH - Rational Expressions

    HELP PLEASE! I am taking my college placement test tomorrow and am working on the sample test now. I need help with this question about Rational Expressions... For all r (<INSERT>is not equal to sign)+ or - 2 r(squared) - 5r+6 …
  2. math

    Express 13/10 - 2/15 as a simplified rational number. I want to make sure I'm doing it correctly. 10 and 15 will go in there 30T and then I said 15 will go in 30 4 T and did I said 10 will go in 30 3T which gave me 35/30 and did I …
  3. algebra

    Solve for x x/6-x/8 equals 1 Do fraction busters Find the least common denominator, which is 24. Change the fractions to where they have the same denominator. Change 1 to equal 24/24, and solve. Did this help?
  4. Algebra

    Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all …
  5. Algebra II

    I have some questions on my assignment, if you don't mind could you look over my answers. thanxs! Find all the numbers that must be excluded from the domain of the rational expression. x+8/x^2-16, my answer: x cant be -4 or 4 x-3/x^2+11x+24, …
  6. math

    (X^2-1)/(x-1) = (x+1)(x-1)/(x-1) = x+1. If you then subtract your original number, x, you are left with 1. The reason this doesn't work with 1 is that you would have 1-1=0 in the denominator and you cannot divide by zero. This uses …
  7. math

    What is the least common denominator of the rational expressions x-1/x^2+8x+7 and -3/x^2+x
  8. SAT math

    True or False: The least common denominator of each denominator in the following rational expression is -2(x-3)(x-1) : 8 / x^2-4x+3 = 1 / 3-x + 1 / 2 FALSE?
  9. MATH

    Find the least common denominator of the two rational expressions. 4k 2 ________ + ________ k^2 - 9 3 - k
  10. evans

    Find the least common denominator of the rational expressions. and

More Similar Questions