Algebra 2

posted by .

Combine The Rational Expressions and Simplify (3x-7)/(x^2-12x+27)-(3x-8)/(x^2-9x+18)+(x+2)/(x^2-15x+54)

  • Algebra 2 -

    factor first
    (3x-2)/((x-3)(x-9)) - (3x-8)/((x-3)(x-6)) + (x+2)/((x-9)(x-6))
    so the LCD is ((x-3)(x-6)(x-9)

    = [ (3x-2)(x-6) - (3x-8)(x-9) + (x+2)(x-3) ]/[(x-3)(x-6)(x-9)]
    = [3x^2 - 20x + 12 - 3x^2 + 35x - 72 + x^2 - x - 6]/[(x-3)(x-6)(x-9)]
    = (x^2 + 14x -66)/[(x-3)(x-6)(x-9)]

    check my arithmetic

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. bobpursly,

    Is this correct now after i revised it Multiply. 3xy^2(5xy-4x+6y) 3xy^2(5xy)=15x^2y^3 3xy^2(-4x)=-12x^2y^2 3xy^2(6y)=18xy^3 so i get from this 15x^2y^3-12x^2y^2+18xy^3 correct awsome i just thought that the 15x^2y^3-12x^2y^2 should …
  2. algebra,math,help

    Use Property 2 to simplify each of the following radical expressions. sqrt (10)/ sqrt(49) My answer: sqrt (10) / (7) THis next one i need help: Use the properties for radicals to simplify each of the following expressions. Assume that …
  3. algbrea

    3x-5(3x-7)= 2(x+9) + 45 3x-15x+35= 2x+18 +45 -12x + 35 = 2x+63 -12x -28 = 2x -12 -28 =x -40 =x 3x-5(3x-7)= 2(x+9) + 45 3x-15x+35= 2x+18 +45 -12x + 35 = 2x+63 -10x+35=63 -10x=28 x=-2.8 you are both wrong! 3x - 15x + 35 = 2x + 18 + 45 …
  4. Algebra

    A few questions on simplifying rational expressions... 1). 15x^2/10x this simplifies to 3x^2/2 according to my book. But I would think it should be 3/2x since x^2-x=x. Why not?
  5. Algebra 1b!

    1. Find the excluded value of x for the polynomomial expression 4x/6 a. 6 b. -6 c. 1/6 d. -1/6 2. Simplifly 3-2x/7 + 4x+5/7 a. 2x+8/14 b. 2x+8/7 <--- c. x+1/7 d. 2x+2/7 3. Simplify 6ab^6/4a^7b^10 * a^3b^4/2a^7b^6 a. 7x/8 - 2x/8 …
  6. math

    1. add or subtract {4x^2+15x-3}-(3x^2+5) a.7x^2+15x-8** b.x^2+12x+2 c.x^2+15x-8 d.7x^2+8 2. Simplify the polynomial -3f^2+4f-3+8f^2+7f+1 a.5f^2-11f+2 b.11f^2+11f+2** c.5f^2+11f-2 d.-5f^2+11-2 3. Add or subtract (2x^2+6x+1)+(-7x^2+2x-3) …
  7. Equivalent Algebraic Expressions

    The game shown at the right consists of eight pairs of coloured squares called dominos. Rules: 1. Write a polynomial in each square marked P and a rational function in each square marked R. 2. The expressions you write must satisfy …
  8. Math

    1. add or subtract {4x^2+15x-3}-(3x^2+5) a.7x^2+15x-8** b.x^2+12x+2 c.x^2+15x-8 d.7x^2+8 2. Simplify the polynomial -3f^2+4f-3+8f^2+7f+1 a.5f^2-11f+2 b.11f^2+11f+2** c.5f^2+11f-2 d.-5f^2+11-2 3. Add or subtract (2x^2+6x+1)+(-7x^2+2x-3) …
  9. Algebra

    Combine the following rational expressions. 1/x-y-3/x^3-y^3=1/x-y-3/(x^2+xy+y^2)(x-y)
  10. Algebra

    Combine the following rational expressions. 1/x-y-3/x^3-y^3=1/x-y-3/(x^2+xy+y^2)(x-y)

More Similar Questions