Algebra

posted by .

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]}

  • Algebra -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  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 …
  3. Math

    Can anyone help work these problumns out step by step?
  4. 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 sending …
  5. 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 …
  6. 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 …
  7. 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 :(
  8. 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)]
  9. 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 …
  10. 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) 12n^2 …

More Similar Questions