(4x-80)x+(55(20-x)-200)(20-x) eching

$$( 4 x - 80 ) x + ( 55 ( 20 - x ) - 200 ) ( 20 - x )$$

Baholash

$$\left(x-20\right)\left(59x-900\right)$$

Yechim qadamlari

4x-80 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x^{2}-80x+\left(55\left(20-x\right)-200\right)\left(20-x\right)$$

55 ga 20-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x^{2}-80x+\left(1100-55x-200\right)\left(20-x\right)$$

900 olish uchun 1100 dan 200 ni ayirish.

$$4x^{2}-80x+\left(900-55x\right)\left(20-x\right)$$

900-55x ifodaning har bir elementini 20-x ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4x^{2}-80x+18000-900x-1100x+55x^{2}$$

-2000x ni olish uchun -900x va -1100x ni birlashtirish.

$$4x^{2}-80x+18000-2000x+55x^{2}$$

-2080x ni olish uchun -80x va -2000x ni birlashtirish.

$$4x^{2}-2080x+18000+55x^{2}$$

59x^{2} ni olish uchun 4x^{2} va 55x^{2} ni birlashtirish.

$$59x^{2}-2080x+18000$$

Kengaytirish

$$59x^{2}-2080x+18000$$

Yechim qadamlari

4x-80 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x^{2}-80x+\left(55\left(20-x\right)-200\right)\left(20-x\right)$$

55 ga 20-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x^{2}-80x+\left(1100-55x-200\right)\left(20-x\right)$$

900 olish uchun 1100 dan 200 ni ayirish.

$$4x^{2}-80x+\left(900-55x\right)\left(20-x\right)$$

900-55x ifodaning har bir elementini 20-x ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4x^{2}-80x+18000-900x-1100x+55x^{2}$$

-2000x ni olish uchun -900x va -1100x ni birlashtirish.

$$4x^{2}-80x+18000-2000x+55x^{2}$$

-2080x ni olish uchun -80x va -2000x ni birlashtirish.

$$4x^{2}-2080x+18000+55x^{2}$$

59x^{2} ni olish uchun 4x^{2} va 55x^{2} ni birlashtirish.

$$59x^{2}-2080x+18000$$