3x^2-(x-2)(3x+1)-2(x+1)(x-5) eching

$$3 x ^ { 2 } - ( x - 2 ) ( 3 x + 1 ) - 2 ( x + 1 ) ( x - 5 )$$

Baholash

$$12+13x-2x^{2}$$

Yechim qadamlari

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

$$3x^{2}-\left(3x^{2}-5x-2\right)-2\left(x+1\right)\left(x-5\right)$$

3x^{2}-5x-2 teskarisini topish uchun har birining teskarisini toping.

$$3x^{2}-3x^{2}+5x+2-2\left(x+1\right)\left(x-5\right)$$

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

$$5x+2-2\left(x+1\right)\left(x-5\right)$$

-2 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5x+2+\left(-2x-2\right)\left(x-5\right)$$

-2x-2 ga x-5 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$5x+2-2x^{2}+8x+10$$

13x ni olish uchun 5x va 8x ni birlashtirish.

$$13x+2-2x^{2}+10$$

12 olish uchun 2 va 10'ni qo'shing.

$$13x+12-2x^{2}$$

Kengaytirish

$$12+13x-2x^{2}$$

Yechim qadamlari

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

$$3x^{2}-\left(3x^{2}-5x-2\right)-2\left(x+1\right)\left(x-5\right)$$

3x^{2}-5x-2 teskarisini topish uchun har birining teskarisini toping.

$$3x^{2}-3x^{2}+5x+2-2\left(x+1\right)\left(x-5\right)$$

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

$$5x+2-2\left(x+1\right)\left(x-5\right)$$

-2 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5x+2+\left(-2x-2\right)\left(x-5\right)$$

-2x-2 ga x-5 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$5x+2-2x^{2}+8x+10$$

13x ni olish uchun 5x va 8x ni birlashtirish.

$$13x+2-2x^{2}+10$$

12 olish uchun 2 va 10'ni qo'shing.

$$13x+12-2x^{2}$$