Question

3х+у/у*(у/х-3у/3х+у).

Answer 1

Странный пример, рекомендую использовать приложение photomatch

Answer 2

To simplify the expression, let's break it down step by step:

1. Simplify the numerator: The numerator is 3x + y.

2. Simplify the denominator: The denominator is y * (y/x - 3y/(3x + y)).

   Let's simplify the second part of the denominator, i.e., y/x - 3y/(3x + y): To combine the fractions with different denominators, we need to find a common denominator. The common denominator for x and (3x + y) is x(3x + y). Therefore, we can rewrite the expression as (y(3x + y))/(x(3x + y)) - (3xy)/(x(3x + y)).

   Now we can combine the fractions: (y(3x + y) - 3xy)/(x(3x + y)).

3. Combine the numerator and denominator: The expression becomes (3x + y)/((y(3x + y) - 3xy)/(x(3x + y))).

4. Invert the denominator and multiply: To divide by a fraction, we can multiply by its reciprocal. Therefore, the expression can be simplified as follows: (3x + y) * (x(3x + y))/(y(3x + y) - 3xy).

5. Simplify further: The expression can be simplified to: (3x + y) * (x(3x + y))/(3xy).

   We can cancel out the (3x + y) terms in the numerator and denominator: x/3y.

So, the simplified expression is x/3y.