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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)
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@adrynicoleb @Ahsome @amydh @bebe365 @badboy18 @ChrystalC @CoconutJJ @Chelsey2015 @ChiakiNagoya @camman I'll award a medal!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Luigi0210 @zepdrix please help

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \frac{x^2 + x  12}{x^2  x  20}\div\frac{3x^2 24x + 45}{12x^2  48x  60}\]We gotta simplify huh? :) So I guess we'll need to do some good ole factoring.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.01 ——————————— 36 • (x  5)^3• (x + 1)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, 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..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats what i got but could be wrong

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yes, flip is a good first step!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@yinkim52001 Thanks so much for trying to help! But I want to learn how to do this as I am struggling with the problem (:

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \frac{x^2 + x  12}{x^2  x  20}\cdot\frac{12x^2  48x  60}{3x^2 24x + 45}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the signs dont change within the fraction?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1correct. 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes! So what is the next step? I factor both denominators and both numerators?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yesss. Stuck on any of those steps? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not yet! Lol I have to try it out. Will you please give me a minute?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay! So I have (x3)(x+4) / (x4)(x+5) times 12(x^2  4x 5) / 3(x^2  8x + 15)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'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..

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \frac{(x3)(x+4)}{\color{red}{(x4)(x+5)}}\cdot\frac{12(x^24x5)}{3(x^28x+15)}\]Woops! :O Double check the red a sec. Rest looks good though.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1ya it's incorrect! :O fix it silly!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1The middle term is negative, so the LARGER number should get the negative sign, ya? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I guess it would have to be (x + 4) and (x  5) haha

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \frac{(x3)(x+4)}{(x+4)(x5)}\cdot\frac{12(x^24x5)}{3(x^28x+15)}\]Ooooo kay great!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1You are correct about the 5 being prime. Which means, IF IT CAN FACTOR, the only options we have will be 1 and 5, ya?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh! Right, I didn't even think about that for some reason ;p Let me try to factor further!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay 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)..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just realized they could noth be negative... Okat my bad

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1ya there ya go :) same sign since the 15 is positive

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right! So let me see what I can do this far & I'll come back with my answer or if I get stuck ;p

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1k brb gonna make a sammich c:

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Got it!!! It's 4(x+1) / x  5 Thank you so so much! <3
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