Question

Simplify 2/x + 2/x+1 - 2/x+2. Show the restrictions. Can someone show me how to solve this please?

Answer 1

\[2/x+2/x+1-2/x+2\]

Answer 2

restrictions will be for x values for what the denominators are zero

Answer 3

now can you check it what are these values ?

Answer 4

x=0
x+1=0 so than x=-1
and the 3rd what will be ?

Answer 5

-2?

Answer 6

yes right

Answer 7

How do i simplify the problem?

Answer 8

can you calcule the common denominator ?

Answer 9

No I'm not sure how to do that.

Answer 10

so than you will can adding these

Answer 11

so like denominators there are

x
x+1
x+2

so now you see that x+2 not can divide by x or x+1 and x+1 is the same not can divide by x

so in this case the common denomintor we will get if we make the product of x and x+1 and x+2 so like x(x+1)(x+2)

Answer 12

ok ?

Answer 13

so than now for we can adding these terms after we know the common denominator we need multiplie the first numerator by (x+1)(x+2) and the second numerator by x(x+2) and the 3rd numerator by x(x+1)

- can you calcule it ?

Answer 14

Yes, hold on.

Answer 15

Is the first fraction 2x^2+6x+4/x^3+3x^2+2x?

Answer 16

\[2x^2+6x+4/x^3+3x^2+2x\]