Question

Which expression is equivalent to 3x/x+1

divided by x + 1?
3x
0
X+ 1
X+ 1
0
X
+
1
3
0
X+ 1
0
X+ 1
3x
X+1
1

Answer 1

The equivalent expression to the given expression is

`((3x)/(x+1))/(x+1)=(3x)/((x+1)^2)`

Explanation:

Given expression is
`((3x)/(x+1))/(x+1)}`

To find the equivalent expression to the given expression as below :

`((3x)/(x+1))/(x+1)}`

Rewritting the above given expression as below :

`((3x)/(x+1))/(x+1)=((3x)/(x+1))/((x+1)/(1))`

`=(3x)/(x+1)*(1)/(x+1)}` (by using the fractional property )

`((3x)/(x+1))/(x+1)=(3x)/((x+1)^2)`

Therefore
`((3x)/(x+1))/(x+1)=(3x)/((x+1)^2)`

Therefore the equivalent expression to the given expression is

`((3x)/(x+1))/(x+1)=(3x)/((x+1)^2)`