Question

(у/2х-2х/у):(у+2х) (/-дробь)

Answer 1

Решение на фотографии.

Answer 2

$( \frac{y}{2x} - \frac{2x}{y} ) \div (y + 2x) = \\ = \frac{ {y}^{2} - 4 {x}^{2} }{2x - y} \times \frac{1}{y + 2x} = \\ \\ = \frac{(y - 2x)(y + 2x)}{2xy} \times \frac{1}{y + 2x} = \\ = \frac{y - 2x}{2xy}$

Answer 3

To simplify the expression ((у/2х) - (2х/у)) / (у+2х), we can follow these steps:

Step 1: Find a common denominator for the two fractions in the numerator. Step 2: Perform the subtraction in the numerator. Step 3: Divide the resulting numerator by the denominator.

Let's go through each step:

Step 1: Finding a common denominator The common denominator for у and 2х is 2ху. So, we need to rewrite the expression as follows:

((у/2х) - (2х/у)) / (у+2х) = (уу - 2х2х) / (2ху * (у+2х))

Step 2: Perform the subtraction in the numerator Now, simplify the numerator:

(уу - 2х2х) = (у^2 - 4х^2)

Step 3: Divide the numerator by the denominator The expression becomes:

(у^2 - 4х^2) / (2ху * (у+2х))

And that's the simplified expression. It cannot be simplified further unless there are additional conditions or factors given.