posted by .

using method of partial fractions to decompose this 1/(x-3)(x+3)

is 1/6(x-3)-1/6(x+3) correct or have i gone wrong somewhere

  • math -

    I get

    1/(x-3)(x+3) = A/(x-3) + B/(x+3)

    1 = (x+3)A + (x-3)B

    1 = x(A+B) + 3A -3B

    -> A + B = 0 -> A = -B

    -> 3A - 3B = 1 -> A = 1/6; B = -1/6

    = (1/6)(x-3) - (1/6)/(x+3)

  • math -

    thanks so it is the same thank god for that

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc easy

    Having trouble getting the correct solution. The integral of “x squared” in the numerator and “x squared plus x minus 6” in the denominator. S X2 / (X2 + x – 6) dx Thanks! That's a messy one. According to my table of integrals. …
  2. CALC 2 - Partial Functions!!

    How do I solve Integral of 7/(16-x^2) I know I must break down (16-x^2) into (x+4)(-x+4), but after I do that what is next?
  3. Calculus - Partial Fractions

    What is the integral of 7e^(7t) Divided By e^14t+13e^7t+36 Using partial fractions
  4. Algebra

    Is this right? Decompose into partial fractions. (2x^2-24x+35)/(x^2+2x-7)(x-2)= (Ax+B)/(x^2+2x-7)+C/(x-2) =Ax^2+Bx-2Ax-2B+Cx^2+2xC-7C =(A+C)x^2+Bx+2(Ax+Cx-B)-7C A+C=2 2Ax+Bx+2Cx=24 -2B-7C=35 A=2-C B=(35-7C)/(-2)
  5. Pre-Algebra [repost for Reiny]

    In my last post for #1, I asked my teacher and she said that it's actually k=30 . Could you have gone wrong somewhere?
  6. Binomial

    Help me on this one :( Express y= (7-3x-x^2)/[((1-x)^2)(2+x)] in partial fractions. Hence, prove that if x^3 and higher powers of x may be neglected, then y=(1/8)(28+30x+41x^2) I did the first part of expressing it in partial fractions. …
  7. Calculus

    Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1.
  8. calculus

    Decompose 58-x/x^2-6x-16 into partial fractions.
  9. Math- Partial Fractions

    Decompose the following into partial fractions after factoring the denominator as much as possible. Please show some work so I can understand how you did it. 1)x^2/((x-1)(x^2+5x+4)) 2)(3x^3-5x^2+12x+4)/(x^4-16) 3)1/(x^2 (x+1)^2 ) 4)(x+1)/((x^2+1) …
  10. Math Help

    Directions: Decide whether the statements are true or false by using partial fraction decomposition. If the statement is false, show the correct way to decompose the partial fraction. 3/x^2+x-2=-1/x+2+1/x-1

More Similar Questions