2x+2[y-(4x-[z+2y])+z]-2y= eching

$$2 x + 2 [ y - ( 4 x - [ z + 2 y ] ) + z ] - 2 y =$$

Baholash

$$4z+4y-6x$$

Yechim qadamlari

z+2y teskarisini topish uchun har birining teskarisini toping.

$$2x+2\left(y-\left(4x-z-2y\right)+z\right)-2y$$

4x-z-2y teskarisini topish uchun har birining teskarisini toping.

$$2x+2\left(y-4x-\left(-z\right)-\left(-2y\right)+z\right)-2y$$

-z ning teskarisi z ga teng.

$$2x+2\left(y-4x+z-\left(-2y\right)+z\right)-2y$$

-2y ning teskarisi 2y ga teng.

$$2x+2\left(y-4x+z+2y+z\right)-2y$$

3y ni olish uchun y va 2y ni birlashtirish.

$$2x+2\left(3y-4x+z+z\right)-2y$$

2z ni olish uchun z va z ni birlashtirish.

$$2x+2\left(3y-4x+2z\right)-2y$$

2 ga 3y-4x+2z ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x+6y-8x+4z-2y$$

-6x ni olish uchun 2x va -8x ni birlashtirish.

$$-6x+6y+4z-2y$$

4y ni olish uchun 6y va -2y ni birlashtirish.

$$-6x+4y+4z$$

Kengaytirish

$$4z+4y-6x$$

Yechim qadamlari

z+2y teskarisini topish uchun har birining teskarisini toping.

$$2x+2\left(y-\left(4x-z-2y\right)+z\right)-2y$$

4x-z-2y teskarisini topish uchun har birining teskarisini toping.

$$2x+2\left(y-4x-\left(-z\right)-\left(-2y\right)+z\right)-2y$$

-z ning teskarisi z ga teng.

$$2x+2\left(y-4x+z-\left(-2y\right)+z\right)-2y$$

-2y ning teskarisi 2y ga teng.

$$2x+2\left(y-4x+z+2y+z\right)-2y$$

3y ni olish uchun y va 2y ni birlashtirish.

$$2x+2\left(3y-4x+z+z\right)-2y$$

2z ni olish uchun z va z ni birlashtirish.

$$2x+2\left(3y-4x+2z\right)-2y$$

2 ga 3y-4x+2z ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x+6y-8x+4z-2y$$

-6x ni olish uchun 2x va -8x ni birlashtirish.

$$-6x+6y+4z-2y$$

4y ni olish uchun 6y va -2y ni birlashtirish.

$$-6x+4y+4z$$