Respuesta :
Answer:
[tex]\frac{3x}{(x+1)^2}[/tex] is the expression which is equivalent to [tex]\frac{3x}{x+1}[/tex] divided by (x+1).
Step-by-step explanation:
Given the expression: [tex]\frac{3x}{x+1}[/tex] divided by (x+1).
"Divided" mean [tex]\div[/tex]
[tex]\frac{3x}{x+1} \div (x+1)[/tex] [[tex]a\div b= \frac{a}{b}[/tex]]
⇒[tex]\frac{\frac{3x}{x+1}}{x+1}[/tex]
⇒[tex]\frac{3x}{(x+1)(x+1)}[/tex]
⇒[tex]\frac{3x}{(x+1)^2}[/tex]
Therefore, the expression which is equivalent to [tex]\frac{3x}{x+1}[/tex] divided by (x+1) is, [tex]\frac{3x}{(x+1)^2}[/tex]
The expression that is equivalent to 3x/(x + 1) divided by (x + 1) is;
[tex]\frac{3x}{x + 1} * \frac{1}{x + 1}[/tex]
Simplification of Algebra
We want to find the expression that is equivalent to;
3x/(x + 1) ÷ (x + 1)
Now, when we divide by a number, it means we can simply multiply by the inverse of that number.
This means, if we say a ÷ b, we can also write as;
a × 1/b
Thus, applying that same concept to our question gives;
3x/(x + 1) × 1/(x + 1)
Read more on simplification of algebra at; https://brainly.com/question/723406
