Question

State the restrictions and simplify:
1/x-2 - 1/3x+4

Answer 1

\[\frac{ 1 }{ x-2 } - \frac{ 1 }{ 3x-4 }\]

Answer 2

@jim_thompson5910 can you help me with this

Answer 3

To subtract the fractions, you need to make sure the denominators are equal.

Answer 4

I got that and for some reason I am stuck I will draw what I have so you can tell me what I am doing wrong

Answer 5

alright go for it

Answer 6

ok one sec

Answer 7

i think you meant to say 3x-4 instead of 3x+4 right?

Answer 8

or is it really 3x+4 ?

Answer 9

no its 3x+4

Answer 10

ok let me make the fix on my steps then

Answer 11

what you have is correct

Here's what I got

\[\Large \frac{ 1 }{ x-2 } - \frac{ 1 }{ 3x+4 }\]


\[\Large \frac{ 1(3x+4) }{ (x-2)(3x+4) } - \frac{ 1 }{ 3x+4 }\]


\[\Large \frac{ 3x+4 }{ (x-2)(3x+4) } - \frac{ 1 }{ 3x+4 }\]


\[\Large \frac{ 3x+4 }{ (x-2)(3x+4) } - \frac{ 1(x-2) }{ (x-2)(3x+4) }\]


\[\Large \frac{ 3x+4 }{ (x-2)(3x+4) } - \frac{ x-2 }{ (x-2)(3x+4) }\]


\[\Large \frac{ 3x+4 -( x-2) }{ (x-2)(3x+4) }\]


\[\Large \frac{ 3x+4 -x+2 }{ (x-2)(3x+4) }\]


\[\Large \frac{ 2x+6 }{ (x-2)(3x+4) }\]


So \[\Large \frac{ 1 }{ x-2 } - \frac{ 1 }{ 3x+4 }\] simplifies to \[\Large \frac{ 2x+6 }{ (x-2)(3x+4) }\]

Answer 12

thats what I get

Answer 13

that's great

Answer 14

the questions says state the restrictions and simplify and the answer is the following and the restrictions I understand are -4/3, 2 whic I can see how they get

Answer 15

I just figured it out

Answer 16

I can take 2 out of each top item

Answer 17

yes you can factor it out if you want

Answer 18

and the restrictions are in place to avoid division by zero

Answer 19

thank you it took working with someone to me to see it. I can't believe i didn't see it earlier. thanks

Answer 20

@jim_thompson5910 I can always rely on you thanks

Answer 21

you're welcome, glad to be of help