Respuesta :

Answer:

The equivalent expression to the given expression is

[tex]\frac{\frac{3x}{x+1}}{x+1}=\frac{3x}{(x+1)^2}[/tex]

Step-by-step explanation:

Given expression is  [tex]\frac{\frac{3x}{x+1}}{x+1}}[/tex]

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

[tex]\frac{\frac{3x}{x+1}}{x+1}}[/tex]

Rewritting the above given expression as below :

[tex]\frac{\frac{3x}{x+1}}{x+1}=\frac{\frac{3x}{x+1}}{\frac{x+1}{1}}[/tex]

[tex]=\frac{3x}{x+1}\times\frac{1}{x+1}}[/tex] (by using the fractional property )

[tex]\frac{\frac{3x}{x+1}}{x+1}=\frac{3x}{(x+1)^2}[/tex]

Therefore [tex]\frac{\frac{3x}{x+1}}{x+1}=\frac{3x}{(x+1)^2}[/tex]

Therefore the equivalent expression to the given expression is

[tex]\frac{\frac{3x}{x+1}}{x+1}=\frac{3x}{(x+1)^2}[/tex]

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