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

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

Baholash

$$3x^{2}$$

Yechim qadamlari

x^{2} ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

x^{3}-x^{2} ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

x^{2} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

x^{3}-2x^{2} ga x+2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

x^{4}-4x^{2} teskarisini topish uchun har birining teskarisini toping.

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

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

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

3x^{2} ni olish uchun -x^{2} va 4x^{2} ni birlashtirish.

$$3x^{2}$$

Kengaytirish

$$3x^{2}$$

Yechim qadamlari

x^{2} ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

x^{3}-x^{2} ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

x^{2} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

x^{3}-2x^{2} ga x+2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

x^{4}-4x^{2} teskarisini topish uchun har birining teskarisini toping.

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

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

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

3x^{2} ni olish uchun -x^{2} va 4x^{2} ni birlashtirish.

$$3x^{2}$$