Question

Simplify the expression
2/x-6+4x

Answer 1

do you mean
\[\frac{ 2 }{ x }-6+4x\] or \[\frac{ 2 }{ x-6 }+4x\] or \[\frac{ 2 }{ x-6+4x }\]

Answer 2

I mean the 2nd equation you listed

Answer 3

i supposed you would give them a common denominator so
\[\frac{ 2 }{ x-6 }+4x \rightarrow \frac{ 2 }{ x-6 }+\frac{ 4x(x-6) }{ x-6 }\] then add and distribute so
\[\frac{ 2+4x(x-6) }{ x-6 } \rightarrow \frac{ 2+4x ^{2}-24x }{ x-6 } \rightarrow \frac{ 4x ^{2}-24x+2 }{ x-6 }\]

Answer 4

Oh ok that makes more sense then the answer I had gotten. Would you mind helping me with another one? I am not positive that I got the right answer.

Answer 5

sure :)

Answer 6

ok thank you! it is x/x+5+5x/x-5
It is the same kind of one that you did above.

Answer 7

you mean
\[\frac{ x }{ x+5 } + \frac{ 5x }{ x-5 }\]

Answer 8

yes

Answer 9

multiply each value by\[\frac{ (x+5)(x-5) }{ (x+5)(x-5)}\]

Answer 10

so you get
\[\frac{ x(x-5) }{ (x+5)(x-5) }+ \frac{ 5x(x+5) }{ (x+5)(x-5) }\] then distribute and add like the previous problem

Answer 11

my mistake, correction:
multiply each value by (x+5)/(x+5) or (x-5)/(x-5) as needed to give the values a common denominator so that you can add them together.

Answer 12

i got 6-5x?

Answer 13

@jigglypuff314

Answer 14

do you know how to distribute?

Answer 15

I think i am distributing wrong, could you show me please?

Answer 16

\[x(x-5) \rightarrow x ^{2}-5x\]

Answer 17

\[5x(x+5) \rightarrow 5x ^{2}+25x\]

Answer 18

ok so now I got 6x^2+20x/x^2-25?

Answer 19

yes

Answer 20

do I need to simplify it even more?

Answer 21

I am not sure what sort of math class you are in nor do I know what your teacher expects
but I don't think you can simplify it even more.

Answer 22

Ok thank you very much for your help!

Answer 23

your welcome :)