-5x-x(x+2)(x-4) eching

$$- 5 x - x ( x + 2 ) ( x - 4 )$$

Baholash

$$-x\left(x-3\right)\left(x+1\right)$$

Yechim qadamlari

x ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-5x-\left(x^{2}+2x\right)\left(x-4\right)$$

x^{2}+2x ifodaning har bir elementini x-4 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-5x-\left(x^{3}-4x^{2}+2x^{2}-8x\right)$$

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

$$-5x-\left(x^{3}-2x^{2}-8x\right)$$

x^{3}-2x^{2}-8x teskarisini topish uchun har birining teskarisini toping.

$$-5x-x^{3}-\left(-2x^{2}\right)-\left(-8x\right)$$

-2x^{2} ning teskarisi 2x^{2} ga teng.

$$-5x-x^{3}+2x^{2}-\left(-8x\right)$$

-8x ning teskarisi 8x ga teng.

$$-5x-x^{3}+2x^{2}+8x$$

3x ni olish uchun -5x va 8x ni birlashtirish.

$$3x-x^{3}+2x^{2}$$

Kengaytirish

$$3x+2x^{2}-x^{3}$$

Yechim qadamlari

x ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-5x-\left(x^{2}+2x\right)\left(x-4\right)$$

x^{2}+2x ifodaning har bir elementini x-4 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-5x-\left(x^{3}-4x^{2}+2x^{2}-8x\right)$$

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

$$-5x-\left(x^{3}-2x^{2}-8x\right)$$

x^{3}-2x^{2}-8x teskarisini topish uchun har birining teskarisini toping.

$$-5x-x^{3}-\left(-2x^{2}\right)-\left(-8x\right)$$

-2x^{2} ning teskarisi 2x^{2} ga teng.

$$-5x-x^{3}+2x^{2}-\left(-8x\right)$$

-8x ning teskarisi 8x ga teng.

$$-5x-x^{3}+2x^{2}+8x$$

3x ni olish uchun -5x va 8x ni birlashtirish.

$$3x-x^{3}+2x^{2}$$