anonymous
  • anonymous
I am doing Simplifying rational expressions its adding a fraction. I will attach the probem so you can see it clearer (:
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Here it is :
yuki
  • yuki
hey dolly, still having trouble with rationals ?
anonymous
  • anonymous
ya >.<

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yuki
  • yuki
can't open it
anonymous
  • anonymous
can u see the attachments all i see is links :P
anonymous
  • anonymous
Hmmmm ok then hold on (:
anonymous
  • anonymous
x^2 - 16 / 4x + (x - 4)
anonymous
  • anonymous
and the options are : x + 4 / 4x x + 1/ x x - 4 / x
yuki
  • yuki
is it\[{x^2 - 16 \over 4x} + (x-4)\]
anonymous
  • anonymous
Yep!! (:
yuki
  • yuki
the lowest common denominator is 4x, so you just find the equivalent form of x-4\[4x(x-4) \over 4x\]
yuki
  • yuki
so when you simplify it, \[{x^2+4x^2 -16x -16 \over 4x } ={ 5x^2-16x -16 \over 4x}\]
anonymous
  • anonymous
Ohh so you factor the numerator and then they cancel out? >.< i think i might be confused ^^
yuki
  • yuki
I don't think the problem is right. because the rational form only goes this much and even if you do long division you still don't get any answer from the choices you gave
anonymous
  • anonymous
Ya thats why i was stumped >.< but those are the exact answers they gave me
anonymous
  • anonymous
what do u think i should do? (:
anonymous
  • anonymous
Hmmm alright my teacher says to divide so will you help me with dividing them? (:
yuki
  • yuki
I am thinking that the problem is actually \[{x^2-16 \over 4x(x-4)}\]
anonymous
  • anonymous
No it isnt i wish it was >.< my teacher said it was a typo and ur suppossed to divide... :P go figure lol
anonymous
  • anonymous
will u still help? (:
yuki
  • yuki
hmm, this one would be (x+4)/4x = 1/4 +1/x
yuki
  • yuki
okay, then let's just do long division
yuki
  • yuki
\[(x^2-16 \over 4x\]
yuki
  • yuki
can be written as follows \[{x \over 4} - {4 \over x}\] by long division
anonymous
  • anonymous
Wait so then it would have to be A or C right?
yuki
  • yuki
when you add x-4 you will get \[{x \over 4} - {4 \over x} +x-4\]
yuki
  • yuki
you can't go further if you make it into one big fraction, it's the one with the 5x^2
anonymous
  • anonymous
Hmmm thats so strange!! why are all my problems like that!:P
yuki
  • yuki
even if you work from the answers none of them match for example x + 4/x = \[x^2 +4 \over x\] so it's not the answer
anonymous
  • anonymous
>.< That is frackin frustrating :P lol i gave u a medal tho cuz at least u tried (:
anonymous
  • anonymous
So then for the problem : 10a^2/7b^2 / 25a^3/14b^3 what would be the answer? (:
yuki
  • yuki
let's work one by one the rational expression can be written as such by making a division into a multiplication and taking the reciprocal \[{10a^2 \over 7b^2}*{14b^3 \over 25 a^3}\]
yuki
  • yuki
now this is a lot easier, the a's b's can cancel and 10 and 25 have something in common etc..
anonymous
  • anonymous
oh ya!!
yuki
  • yuki
you will end up having \[2b \over 5a\]
yuki
  • yuki
oops, make that 4b/5a
anonymous
  • anonymous
ohhhh ya i just did that whole problem after u said u dont long divide im such a frickin blonde lol thanks!! i asked for help when i didnt even need it... figures :P lol
anonymous
  • anonymous
Ok i am retaking an assignment and i will prolly be checking or asking for help on here do you think you can help? (: or will ay least be on .... ?(:
yuki
  • yuki
unfortunately I need to go :( Good luck though. My advise is to take each step slowly 1), find LCD 2), make all rationals equivalent form with the LCD 3), add the numerators 4), once simplified, check if it factors 5), check if there is anything in common with the denominator also, keep the denominator factored, because it would be an extra step to expand it

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