(x-1)(x^2+x-1)-2x=x(x-1)(x+1)+2x-3 eching

$$( x - 1 ) ( x ^ { 2 } + x - 1 ) - 2 x = x ( x - 1 ) ( x + 1 ) + 2 x - 3$$

x uchun yechish

$$x=\frac{4}{5}=0,8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x-1 ga x^{2}+x-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

-4x ni olish uchun -2x va -2x ni birlashtirish.

$$x^{3}-4x+1=x\left(x-1\right)\left(x+1\right)+2x-3$$

x ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{3}-4x+1=\left(x^{2}-x\right)\left(x+1\right)+2x-3$$

x^{2}-x ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{3}-4x+1=x^{3}-x+2x-3$$

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

$$x^{3}-4x+1=x^{3}+x-3$$

Ikkala tarafdan x^{3} ni ayirish.

$$x^{3}-4x+1-x^{3}=x-3$$

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

$$-4x+1=x-3$$

Ikkala tarafdan x ni ayirish.

$$-4x+1-x=-3$$

-5x ni olish uchun -4x va -x ni birlashtirish.

$$-5x+1=-3$$

Ikkala tarafdan 1 ni ayirish.

$$-5x=-3-1$$

-4 olish uchun -3 dan 1 ni ayirish.

$$-5x=-4$$

Ikki tarafini -5 ga bo‘ling.

$$x=\frac{-4}{-5}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-4}{-5} kasrini \frac{4}{5} ga soddalashtirish mumkin.

$$x=\frac{4}{5}$$