Question

When simplifying the expression 2/x + 2/(x-1) + 2/(x+2) the denominator is x(x+1)(x–1). What is the numerator?

a. 6x2 + 8x + 4
b. 6x2 + 4x – 4
c. 6x2 + 9x + 4
d. 6x2 + 9x – 4

Answer 1

Shouldn't the denominator be x(x-1)(x+2) ?

Answer 2

i thought that too...

Answer 3

so what do u think?

Answer 4

The second choice (b) would be the answer if the denominator is x(x-1)(x+2). But I can't get any of the choices if the denominator is what you stated.

Answer 5

but that is what the problem say not me... i dont konw what to think now...

Answer 6

I dunno. The least common denominator of the fractions is x(x-1)(x+2). I don't think there's a way to change that to x(x-1)(x+1). I'm thinking it's a typo.

Answer 7

so this can being the common denominator just in case if you rewrite the denominator of 3rd term in (x+1) so hence will be the 3rd term 2/(x+1)

Answer 8

i dont get it...

Answer 9

what and how where ?

Answer 10

i dont get waht u said... i mean i try to do this problem and the demoinator isnt x(x+1)(x–1), so i dont no what to dowith the top

Answer 11

,,sar12" can you rewriting here now correct your exercise ,how is in your math booke ?

Answer 12

what? u first have to find the common demoninator which is supposed to me x(x-1)(x+2)

Answer 13

yes now this is right but how you have wrote in your exercise that is x(x-1)(x+1) so this not can being right common denominator

ok ?

Answer 14

i get that but the question says that is the denominator.....

Answer 15

so i think that this is very difficile understanding for me --- sorry

Answer 16

thats fine...

Answer 17

so you need understanding that if there are fractions with denominators a,b and c so than the common denominator not can being never a*b*d

- hope this is understandably right sure now for you

ok ?

Answer 18

there is a typo here, that is all.

Answer 19

ok great... then what should i do.. are the answers correct?

Answer 20

the denominator must be the product of the denominators. it cannot be anything else

Answer 21

so even the options are wrong?

Answer 22

well lets check...

Answer 23

numerator is \(6x^2+4x-4\)

Answer 24

how?

Answer 25

Yes, all the options are wrong if you use the denominator given,

Answer 26

Because to convert from the denominator you would expect to see, to the denominator you are given, you need to multiply the numerator by (x+1)/(x+2), and the numerator does not divide completely by x+2, so none of the options can be correct.

Answer 27

(because none of them have remainders).
It is a typo.

Answer 28

so it is option 2
when you add fractions you have to take the product of the denominator. you do not have any other choice if there are variables in the denominator and no common factors
clearly there are no common factors in \(x\), \(x-1\) and \(x+2\)

Answer 29

ok so its b, i got it now... but the denominator is wrong... :)