Question

Which expression is equivalent to 3x divided by x +1

Answer 1

One plus three equals four.

Answer 2

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

Explanation:

The complete question is:

Which expression is equivalent to 3x/x+1 divided by x+1.

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

If we solve this expression we have:

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

Solving the squared power of the sum, we have:

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

Therefore the equivalent expression is:

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