Question

Use complete sentences to describe the steps taken to simplify this problem. Make sure you include information about the new common denominator, the final simplified expression, and any restrictions
(3/x)-(3/x+1)-(3/x+2)

Answer 1

\[2-x ^{2}/(x)(x+1)(x+2)\]

Answer 2

we have the exprssion
3/x-3/(x+1)-3/(x+2)
take lcm of x, x+1 and x+2
which is x(x+1)(x+2)
(3(x+1)(x+2)-3(x)(x+2)-3(x)(x+1))/(x(x+1)(x+2))
taking 3 common from numerator and expanding the brackets
3[x^2+3x+2-x^2-2x-x^2-x]/(x(x+1)(x+2)
bringing terms of common power of x together
3[x^2-x^2-x^2+3x-2x-x+2]/(x(x+1)(x+2))
3[-x^2+2]/(x(x+1)(x+2))
\[3(2-x^2)/(x(x+1)(x+2))\]

Answer 3

can you understanding this answer ?

Answer 4

so for this exersice you need using the same procese like in case of

1/2 +1/3 + 3/4

than you need getting the lcd for 2,3 and 4 - so how you can seeing that will be 12
so now you see that in case of 1/2 the denominator 2 till 12 you need multiply by 6 so multiply the 1 by 6 and in case of 1/3 you see that 3 till 12 you need multiply by 4 and in case of 3/4 you see that 4 till 12 you need multiply by 3
- so now after these multiplications of numerators check what will get like numerator finale
so will be

6+4+3 13
------- = ----
12 12

- now i think that you will can doit the same in case of functions like x+1 or ...

hope so much that is understandably sure !

good luck bye

Answer 5

so you need to calcule the denominator common for x and x+1 and x+2 so what will be
x*(x+1)*(x+2) and hence you ned multiply the first numerator by (x+1)(x+2) and second numerator by x(x+2) and 3-rd numerator by x(x+1) so after this you make those calcules and will get (3(x+1)(x+2)-3x(x+2)-3x(x+1))/(x(x+1)(x+2)