Algebra

simpliy the following: (a) {[4x^2-49]/[8x^3+27]} *{ [4x^2+12x+9]/[2x^2-13x+21]} (b) {[x^2+x-6]/[x^2+7x-6]}*{[20x^2-7x-3]/[6x^2-25x+4]}*{[4x^2-11x-3]/[6x^2-19x+3]}

  1. 👍 0
  2. 👎 0
  3. 👁 115
  1. Here's (a):

    {[4x^2-49]/[8x^3+27]} *{ [4x^2+12x+9]/[2x^2-13x+21]}

    4x^2-49 = (2x-7)(2x+7)
    8x^3+27 = (2x+3)(4x^2-6x+9)
    4x^2+12x+9 = (2x+3)(2x+3)
    2x^2-13x+21 = (2x-7)(x-3)

    Putting it all together, you can cancel the (2x-7)(2x+3) to get

    (2x+7)(2x+3) / (x-3)(4x^2-6x+9)

    Do (b) likewise. The key is to know how to factor these babies. Recognize differences of square and cubes.

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Urgent Math please check

    Very Important I can get someone to check these for me... I have to get an A, and I was wondering if someone could double check these for me. I am about 95% sure they are right, but just need a fresh set of eyes. I know I've been

    asked by Brittany on April 2, 2011
  2. polynomials

    (3+7x)-(16x2+15x2) (3+1x)-(12x+16+0+18x2) Q4: (15+13x2+14x2)+(13x+18x) Q5: (2x2+1+15x2+7+3)+(0x+17x) Q6: (18x+3)+(17x2+1x2+9+8+0x) Q7: (6x + 14) - (9x + 5) Q8: (14x2 + 13x + 12) - (7x2 + 20x + 4) Q9: Subtract -10x2 + 16x - 15 from

    asked by Anonymous on January 10, 2007
  3. Polynomial- Doublecheck2

    I asked this earlier, but I didn't get an answer. I'm glad though, because I found a couple of typos. I can get someone to check these for me... I have to get an A, and I was wondering if someone could double check these for me. I

    asked by Brittany on April 3, 2011
  4. polynomials

    (3+7x)-(16x2+15x2) (3+1x)-(12x+16+0+18x2) Q4: (15+13x2+14x2)+(13x+18x) Q5: (2x2+1+15x2+7+3)+(0x+17x) Q6: (18x+3)+(17x2+1x2+9+8+0x) Q7: (6x + 14) - (9x + 5) Q8: (14x2 + 13x + 12) - (7x2 + 20x + 4) Q9: Subtract -10x2 + 16x - 15 from

    asked by Anonymous on January 10, 2007
  5. Algebra

    simplify: [(2x^2+5x-6)/(5x^2+7x-6)]*[(20x^2-7x-3)/(6x^2-25x+4)]/[(4x^2-11x-3)/(6x^2-19x+3)]

    asked by Jeconiah on February 19, 2013
  6. Math

    Can anyone help work these problumns out step by step? 11x-37=x+23 10p-26=p-44 -13x+5=4x-6 -7x+13=4x-7 11x+5=17 -11x+13=-42 -15y+26=-19 5x-13=9x+15 6q-14=11q-19 4(-2x-5)=29 12(2-5x)=(3x-1) 9x+2=15x-10 19q+4=7q-3 6(2x+1)=9(2x+6)

    asked by Scotty on February 13, 2011
  7. 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

    asked by Selena on December 9, 2013
  8. algebra 2

    find all the zeroes of: x^5-3x^4-24x^3-72x^2-25x+75=0 5x^5-20x^4-40x^3-16x^2-45x+180=0 -3x^5+3x^4+9x^3-7x^2+12x=12 x^3-x^2-13x-13=0 x^3+x^2=15x-15 Thank you for any help...I'm desperate please help :(

    asked by nathalie on December 31, 2012
  9. Algebra

    1. Find the degree of the monomial 6p^3 q^2. A) 2 B) 3**** C) 5 D) 6 2. Simplify (7t^2+9)+(6t^2+8) A) t^2 +1 B) 13t^2+17 C) 13t^4+ 17**** D) 42t^2+72 3. Simplify 3n(4n^2 + 5n) A) 12n^3 + 15 n^2***** B) 7n^2+8n C) 12n^2 +15n D)

    asked by Olaf on February 12, 2015
  10. Algebra

    Please let me know if I answered these correctly. thank you, #2. Add: 3p^2 – 5p – 4 and 9p^2 + 10p – 2 A. 12p2 + 15p – 6 B. 12p2 + 5p – 2 C. 12p2 + 5p – 6 D. 12p2 + 15p – 2 answer D ________________________ #7. (3x^2

    asked by Albert on August 11, 2012

More Similar Questions