Question

How will we solve this??
(3/x)+ (3/(x+1) - (3)/(x+2)
please explain how to get the new denominator and any restrictions..thanks

Answer 1

you need the same factors in the denominator... what would you do if you had
1/3+ 1/5?

Answer 2

multiply 1/3 by 5 and 1/5 by 3

Answer 3

exactly.. just do the same

Answer 4

so the denominator would have x(x+1)(x+2)

Answer 5

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

Answer 6

*trying to absorb this*

Answer 7

oooh i see whats going on...

Answer 8

can we simplify this to this --> 3(x^2 +4x+2)/ x(x+1)(x+2)

Answer 9

dont let the binomials scare you.. they are just factors...
oh and unless there is a equal sign suggesting an equality you are not solving for any unknown

Answer 10

there is no equal sign? does that mean i have to solve for the unknown?

Answer 11

i wouldnt think so.. you are just following the instructions given for the problem.. ie simplify or whatever they want you to do

Answer 12

it says mention if there are any restrictions?

Answer 13

from what i remember..restrictions were where you had to plug in 0 in the denominator?!?

Answer 14

the denominator should not be equal to zero

Answer 15

\[x \cancel{=} 0,-1,-2\]

Answer 16

right

Answer 17

ooh..ok...

Answer 18

i got it...