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anonymous

  • one year ago

Algebra equation! simplify completely (x^2 + x - 12) / (x^2 - x - 20) divided by (3x^2 -24x + 45) / (12x^2 - 48x - 60)

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  1. anonymous
    • one year ago
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    @adrynicoleb @Ahsome @amydh @bebe365 @badboy18 @ChrystalC @CoconutJJ @Chelsey2015 @ChiakiNagoya @camman I'll award a medal!

  2. anonymous
    • one year ago
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    @Luigi0210 @zepdrix please help

  3. zepdrix
    • one year ago
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    \[\large\rm \frac{x^2 + x - 12}{x^2 - x - 20}\div\frac{3x^2 -24x + 45}{12x^2 - 48x - 60}\]We gotta simplify huh? :) So I guess we'll need to do some good ole factoring.

  4. anonymous
    • one year ago
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    1 ——————————— 36 • (x - 5)^3• (x + 1)

  5. anonymous
    • one year ago
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    Well, dont we first flip the second fraction and switch the sign to multiplication? I just cant remember if we change the signs within the fraction when we flip it..

  6. anonymous
    • one year ago
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    thats what i got but could be wrong

  7. zepdrix
    • one year ago
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    Yes, flip is a good first step!

  8. anonymous
    • one year ago
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    @yinkim52001 Thanks so much for trying to help! But I want to learn how to do this as I am struggling with the problem (:

  9. zepdrix
    • one year ago
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    \[\large\rm \frac{x^2 + x - 12}{x^2 - x - 20}\cdot\frac{12x^2 - 48x - 60}{3x^2 -24x + 45}\]

  10. anonymous
    • one year ago
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    So the signs dont change within the fraction?

  11. zepdrix
    • one year ago
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    correct. no change. example:\[\large\rm \frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a}{b}\cdot\frac{d}{c}\]This is how we apply this "flip" idea ^ See how nothing changed to negative? :o

  12. anonymous
    • one year ago
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    Yes! So what is the next step? I factor both denominators and both numerators?

  13. zepdrix
    • one year ago
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    Yesss. Stuck on any of those steps? :)

  14. anonymous
    • one year ago
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    Not yet! Lol I have to try it out. Will you please give me a minute?

  15. zepdrix
    • one year ago
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    k :)

  16. anonymous
    • one year ago
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    Okay! So I have (x-3)(x+4) / (x-4)(x+5) times 12(x^2 - 4x -5) / 3(x^2 - 8x + 15)

  17. anonymous
    • one year ago
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    I'm not sure how to further factor the right fraction because the top has a prime number (5) and the denominator is giving me an issue too..

  18. zepdrix
    • one year ago
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    \[\large\rm \frac{(x-3)(x+4)}{\color{red}{(x-4)(x+5)}}\cdot\frac{12(x^2-4x-5)}{3(x^2-8x+15)}\]Woops! :O Double check the red a sec. Rest looks good though.

  19. anonymous
    • one year ago
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    I put that ;p

  20. zepdrix
    • one year ago
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    ya it's incorrect! :O fix it silly!

  21. zepdrix
    • one year ago
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    The middle term is negative, so the LARGER number should get the negative sign, ya? :)

  22. anonymous
    • one year ago
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    I guess it would have to be (x + 4) and (x - 5) haha

  23. zepdrix
    • one year ago
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    \[\large\rm \frac{(x-3)(x+4)}{(x+4)(x-5)}\cdot\frac{12(x^2-4x-5)}{3(x^2-8x+15)}\]Ooooo kay great!

  24. anonymous
    • one year ago
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    Yes (:

  25. zepdrix
    • one year ago
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    You are correct about the 5 being prime. Which means, IF IT CAN FACTOR, the only options we have will be 1 and 5, ya?

  26. anonymous
    • one year ago
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    Ohhh! Right, I didn't even think about that for some reason ;p Let me try to factor further!

  27. anonymous
    • one year ago
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    Okay so that would factor out to (x - 5) (x + 1), but I tried factoring out the denominator and I couldn't figure it out because neither (x + 5)(x - 3) nor (x + 3)(x - 5) were foiling out to be (x^2 - 8x + 15)..

  28. anonymous
    • one year ago
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    WOW!

  29. anonymous
    • one year ago
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    Just realized they could noth be negative... Okat my bad

  30. anonymous
    • one year ago
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    both* okay*

  31. zepdrix
    • one year ago
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    ya there ya go :) same sign since the 15 is positive

  32. anonymous
    • one year ago
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    Right! So let me see what I can do this far & I'll come back with my answer or if I get stuck ;p

  33. zepdrix
    • one year ago
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    k brb gonna make a sammich c:

  34. anonymous
    • one year ago
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    No problem ;p

  35. anonymous
    • one year ago
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    Got it!!! It's 4(x+1) / x - 5 Thank you so so much! <3

  36. zepdrix
    • one year ago
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    yayyy good job \c:/

  37. anonymous
    • one year ago
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    Thaaank you (:

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