(x+1)(x-1)(x+2)(x-1) eching

$$(x+1)(x-1)(x+2)(x-1)$$

Baholash

$$\left(x+1\right)\left(x+2\right)\left(x-1\right)^{2}$$

Yechim qadamlari

\left(x-1\right)^{2} hosil qilish uchun x-1 va x-1 ni ko'paytirish.

$$\left(x+1\right)\left(x-1\right)^{2}\left(x+2\right)$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$\left(x+1\right)\left(x^{2}-2x+1\right)\left(x+2\right)$$

x+1 ifodaning har bir elementini x^{2}-2x+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\left(x^{3}-2x^{2}+x+x^{2}-2x+1\right)\left(x+2\right)$$

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

$$\left(x^{3}-x^{2}+x-2x+1\right)\left(x+2\right)$$

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

$$\left(x^{3}-x^{2}-x+1\right)\left(x+2\right)$$

x^{3}-x^{2}-x+1 ifodaning har bir elementini x+2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$x^{4}+2x^{3}-x^{3}-2x^{2}-x^{2}-2x+x+2$$

x^{3} ni olish uchun 2x^{3} va -x^{3} ni birlashtirish.

$$x^{4}+x^{3}-2x^{2}-x^{2}-2x+x+2$$

-3x^{2} ni olish uchun -2x^{2} va -x^{2} ni birlashtirish.

$$x^{4}+x^{3}-3x^{2}-2x+x+2$$

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

$$x^{4}+x^{3}-3x^{2}-x+2$$

Kengaytirish

$$x^{4}+x^{3}-3x^{2}-x+2$$

Yechim qadamlari

\left(x-1\right)^{2} hosil qilish uchun x-1 va x-1 ni ko'paytirish.

$$\left(x+1\right)\left(x-1\right)^{2}\left(x+2\right)$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$\left(x+1\right)\left(x^{2}-2x+1\right)\left(x+2\right)$$

x+1 ifodaning har bir elementini x^{2}-2x+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\left(x^{3}-2x^{2}+x+x^{2}-2x+1\right)\left(x+2\right)$$

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

$$\left(x^{3}-x^{2}+x-2x+1\right)\left(x+2\right)$$

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

$$\left(x^{3}-x^{2}-x+1\right)\left(x+2\right)$$

x^{3}-x^{2}-x+1 ifodaning har bir elementini x+2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$x^{4}+2x^{3}-x^{3}-2x^{2}-x^{2}-2x+x+2$$

x^{3} ni olish uchun 2x^{3} va -x^{3} ni birlashtirish.

$$x^{4}+x^{3}-2x^{2}-x^{2}-2x+x+2$$

-3x^{2} ni olish uchun -2x^{2} va -x^{2} ni birlashtirish.

$$x^{4}+x^{3}-3x^{2}-2x+x+2$$

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

$$x^{4}+x^{3}-3x^{2}-x+2$$