Respuesta :

One plus three equals four.

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]

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