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# Simplify.

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first question :

Simplify.

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

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
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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  !!!   Oct 24, 2018
#2
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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
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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)   Oct 24, 2018
#4
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I got it right thank you again! I do get confused on the solving but your explanation has helped . 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