Answer:
[tex]\frac{3x}{x^{2}+2x+1}[/tex]
Step-by-step explanation:
The complete question is:
Which expression is equivalent to 3x/x+1 divided by x+1.
[tex](\frac{3x}{x+1}) \div (x+1)[/tex]
If we solve this expression we have:
[tex](\frac{3x}{x+1}) \times \frac{1}{(x+1)}=\frac{3x}{(x+1)^{2} }[/tex]
Solving the squared power of the sum, we have:
[tex]\frac{3x}{(x+1)^{2} }=\frac{3x}{x^{2}+2x+1}[/tex]
Therefore the equivalent expression is:
[tex]\frac{3x}{x^{2}+2x+1}[/tex]
