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

jjennylove
Oct 24, 2018

#1**+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 !!!

CPhill
Oct 24, 2018

#2**+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**+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)

CPhill
Oct 24, 2018

#4**+1 **

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