Question

Сократите дробь x^2+y^2+2xy/2x^2+2y^2 Варианты ответа а) 2xy/x^2+y^2 б) x+y/2 в) xy Г) нельзя сократить

Answer 1

X^2+y^2+2xy/2x^2+2y^2  = (х+y)² / 2*(х²+y²)
Нельзя сократить.
Ответ Г).

Answer 2

Simplifying the Fraction

To simplify the given fraction x^2+y^2+2xy/2x^2+2y^2, we can factorize the numerator and the denominator and then cancel out common factors.

The given fraction is: x^2+y^2+2xy / 2x^2+2y^2

To simplify, we can factorize the numerator and the denominator: x^2+y^2+2xy can be factorized as (x+y)^2 2x^2+2y^2 can be factorized as 2(x^2+y^2)

So, the fraction becomes: (x+y)^2 / 2(x^2+y^2)

Therefore, the simplified form of the given fraction is (x+y)^2 / 2(x^2+y^2).

This is the simplified form of the given fraction.