(x^2-9)*(x^2+8)-(x^2-5)*(x^2+3x-2)= eching

$$( x ^ { 2 } - 9 ) \cdot ( x ^ { 2 } + 8 ) - ( x ^ { 2 } - 5 ) \cdot ( x ^ { 2 } + 3 x - 2 ) =$$

Baholash

$$-3x^{3}+6x^{2}+15x-82$$

Yechim qadamlari

x^{2}-9 ga x^{2}+8 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{4}-x^{2}-72-\left(x^{2}-5\right)\left(x^{2}+3x-2\right)$$

x^{2}-5 ga x^{2}+3x-2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{4}-x^{2}-72-\left(x^{4}+3x^{3}-7x^{2}-15x+10\right)$$

x^{4}+3x^{3}-7x^{2}-15x+10 teskarisini topish uchun har birining teskarisini toping.

$$x^{4}-x^{2}-72-x^{4}-3x^{3}+7x^{2}+15x-10$$

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

$$-x^{2}-72-3x^{3}+7x^{2}+15x-10$$

6x^{2} ni olish uchun -x^{2} va 7x^{2} ni birlashtirish.

$$6x^{2}-72-3x^{3}+15x-10$$

-82 olish uchun -72 dan 10 ni ayirish.

$$6x^{2}-82-3x^{3}+15x$$

Kengaytirish

$$-3x^{3}+6x^{2}+15x-82$$

Yechim qadamlari

x^{2}-9 ga x^{2}+8 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{4}-x^{2}-72-\left(x^{2}-5\right)\left(x^{2}+3x-2\right)$$

x^{2}-5 ga x^{2}+3x-2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{4}-x^{2}-72-\left(x^{4}+3x^{3}-7x^{2}-15x+10\right)$$

x^{4}+3x^{3}-7x^{2}-15x+10 teskarisini topish uchun har birining teskarisini toping.

$$x^{4}-x^{2}-72-x^{4}-3x^{3}+7x^{2}+15x-10$$

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

$$-x^{2}-72-3x^{3}+7x^{2}+15x-10$$

6x^{2} ni olish uchun -x^{2} va 7x^{2} ni birlashtirish.

$$6x^{2}-72-3x^{3}+15x-10$$

-82 olish uchun -72 dan 10 ni ayirish.

$$6x^{2}-82-3x^{3}+15x$$