Question

1. simplify

\\(\dfrac{\dfrac{\dfrac{x + 2}{y}}{\dfrac{y}{y}}}{\dfrac{y}{x + 2}}\\)
options:
\\(\dfrac{x + 2}{y^2}\\)
\\(\dfrac{y^2}{x + 2}\\)
\\(\dfrac{(x + 2)^2}{y^2}\\)
1

Explanation:

Step1: Rewrite division as multiplication

$\frac{x+2}{y} \div \frac{y}{x+2} = \frac{x+2}{y} \times \frac{x+2}{y}$

Step2: Multiply numerators and denominators

$\frac{(x+2)(x+2)}{y \times y} = \frac{(x+2)^2}{y^2}$

Answer:

$\frac{(x+2)^2}{y^2}$