4x-y(7x+4y)-(2x+8y)(2x+5y) eching

$$4 x - y ( 7 x + 4 y ) - ( 2 x + 8 y ) ( 2 x + 5 y )$$

Baholash

$$4x-44y^{2}-33xy-4x^{2}$$

Yechim qadamlari

y ga 7x+4y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-\left(7yx+4y^{2}\right)-\left(2x+8y\right)\left(2x+5y\right)$$

7yx+4y^{2} teskarisini topish uchun har birining teskarisini toping.

$$4x-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

2x+8y ifodaning har bir elementini 2x+5y ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)$$

26xy ni olish uchun 10xy va 16yx ni birlashtirish.

$$4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

4x^{2}+26xy+40y^{2} teskarisini topish uchun har birining teskarisini toping.

$$4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}$$

-33yx ni olish uchun -7yx va -26xy ni birlashtirish.

$$4x-33yx-4y^{2}-4x^{2}-40y^{2}$$

-44y^{2} ni olish uchun -4y^{2} va -40y^{2} ni birlashtirish.

$$4x-33yx-44y^{2}-4x^{2}$$

Kengaytirish

$$4x-44y^{2}-33xy-4x^{2}$$

Yechim qadamlari

y ga 7x+4y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-\left(7yx+4y^{2}\right)-\left(2x+8y\right)\left(2x+5y\right)$$

7yx+4y^{2} teskarisini topish uchun har birining teskarisini toping.

$$4x-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

2x+8y ifodaning har bir elementini 2x+5y ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)$$

26xy ni olish uchun 10xy va 16yx ni birlashtirish.

$$4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

4x^{2}+26xy+40y^{2} teskarisini topish uchun har birining teskarisini toping.

$$4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}$$

-33yx ni olish uchun -7yx va -26xy ni birlashtirish.

$$4x-33yx-4y^{2}-4x^{2}-40y^{2}$$

-44y^{2} ni olish uchun -4y^{2} va -40y^{2} ni birlashtirish.

$$4x-33yx-44y^{2}-4x^{2}$$