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avatar+712 

first question :

Simplify.

2+x/8x / 3+x/x

 

Enter your answer in the box.

 

I think the answer is x+2 / 8(x+3)

 

Second question:

Simplify.

4x^3−12x^2 /4x^2+7x−2/ 2x^2−6x / 5x^2+11x+2

 

i think the answer is 2x(4x+1)/4x-1

 Oct 24, 2018
edited by jjennylove  Oct 24, 2018
 #1
avatar+98196 
+1

Invert    [ 3 + x ] / x    and multiply by the first fration

 

[ 2 + x ] / [ 8x ]  *   [x] / [ 3 + x ]  =

 

[ 2 + x ] [ x ]

____________          cancel  the x's

[ 8x ]  [ 3 + x ]

 

  2 + x

_________

8 ( 3 + x)

 

  Yep....good job, Jenny  !!!

 

 

cool cool cool

 Oct 24, 2018
 #2
avatar+712 
+1

Yes! Thank You, thats the way I solved it as well .If you could check the other one by chance ?

jjennylove  Oct 24, 2018
 #3
avatar+98196 
+1

4x^3−12x^2 /4x^2+7x−2/ 2x^2−6x / 5x^2+11x+2

 

Invert the second fraction and multiply by the first

 

4x^3 - 12x^2               5x^2 + 11x + 2

___________     x     _______________                factor as much as possible

4x^2 + 7x - 2                 2x^2 - 6x

 

 

4x^2  ( x - 3)                    ( 5x + 1) ( x + 2)

______________   x      _______________       "cancel"  where possible

 (4x - 1) ( x + 2)                 2x ( x - 3)

 

 

2x * ( 5x + 1)

_____________

  ( 4x - 1)

 

 

 

 

cool cool cool

 Oct 24, 2018
 #4
avatar+712 
+1

I got it right thank you again! I do get confused on the solving but your explanation has helped .smiley

 

I posted another question a bit different then this one , however I was having more diffucly with it , you could explain it? It is named "Solve for X" .

jjennylove  Oct 24, 2018

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