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

$$(2x-1)(-3x)-(1-3x)(1+2x)$$

Baholash

$$4x-1$$

Yechim qadamlari

2x-1 ga -3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(-6x+3\right)x-\left(1-3x\right)\left(1+2x\right)$$

-6x+3 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6x^{2}+3x-\left(1-3x\right)\left(1+2x\right)$$

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

$$-6x^{2}+3x-\left(1+2x-3x-6x^{2}\right)$$

-x ni olish uchun 2x va -3x ni birlashtirish.

$$-6x^{2}+3x-\left(1-x-6x^{2}\right)$$

1-x-6x^{2} teskarisini topish uchun har birining teskarisini toping.

$$-6x^{2}+3x-1-\left(-x\right)-\left(-6x^{2}\right)$$

-x ning teskarisi x ga teng.

$$-6x^{2}+3x-1+x-\left(-6x^{2}\right)$$

-6x^{2} ning teskarisi 6x^{2} ga teng.

$$-6x^{2}+3x-1+x+6x^{2}$$

4x ni olish uchun 3x va x ni birlashtirish.

$$-6x^{2}+4x-1+6x^{2}$$

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

$$4x-1$$

Kengaytirish

$$4x-1$$

Yechim qadamlari

2x-1 ga -3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(-6x+3\right)x-\left(1-3x\right)\left(1+2x\right)$$

-6x+3 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6x^{2}+3x-\left(1-3x\right)\left(1+2x\right)$$

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

$$-6x^{2}+3x-\left(1+2x-3x-6x^{2}\right)$$

-x ni olish uchun 2x va -3x ni birlashtirish.

$$-6x^{2}+3x-\left(1-x-6x^{2}\right)$$

1-x-6x^{2} teskarisini topish uchun har birining teskarisini toping.

$$-6x^{2}+3x-1-\left(-x\right)-\left(-6x^{2}\right)$$

-x ning teskarisi x ga teng.

$$-6x^{2}+3x-1+x-\left(-6x^{2}\right)$$

-6x^{2} ning teskarisi 6x^{2} ga teng.

$$-6x^{2}+3x-1+x+6x^{2}$$

4x ni olish uchun 3x va x ni birlashtirish.

$$-6x^{2}+4x-1+6x^{2}$$

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

$$4x-1$$