(5x+2)(-2x+3)+4(-2x+3)-7x(-2x+3 eching

$$( 5 x + 2 ) ( - 2 x + 3 ) + 4 ( - 2 x + 3 ) - 7 x ( - 2 x + 3$$

Baholash

$$2\left(x-3\right)\left(2x-3\right)$$

Yechim qadamlari

5x+2 ifodaning har bir elementini -2x+3 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-10x^{2}+15x-4x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

11x ni olish uchun 15x va -4x ni birlashtirish.

$$-10x^{2}+11x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

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

$$-10x^{2}+11x+6-8x+12-7x\left(-2x+3\right)$$

3x ni olish uchun 11x va -8x ni birlashtirish.

$$-10x^{2}+3x+6+12-7x\left(-2x+3\right)$$

18 olish uchun 6 va 12'ni qo'shing.

$$-10x^{2}+3x+18-7x\left(-2x+3\right)$$

-7x ga -2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-10x^{2}+3x+18+14x^{2}-21x$$

4x^{2} ni olish uchun -10x^{2} va 14x^{2} ni birlashtirish.

$$4x^{2}+3x+18-21x$$

-18x ni olish uchun 3x va -21x ni birlashtirish.

$$4x^{2}-18x+18$$

Kengaytirish

$$4x^{2}-18x+18$$

Yechim qadamlari

5x+2 ifodaning har bir elementini -2x+3 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-10x^{2}+15x-4x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

11x ni olish uchun 15x va -4x ni birlashtirish.

$$-10x^{2}+11x+6+4\left(-2x+3\right)-7x\left(-2x+3\right)$$

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

$$-10x^{2}+11x+6-8x+12-7x\left(-2x+3\right)$$

3x ni olish uchun 11x va -8x ni birlashtirish.

$$-10x^{2}+3x+6+12-7x\left(-2x+3\right)$$

18 olish uchun 6 va 12'ni qo'shing.

$$-10x^{2}+3x+18-7x\left(-2x+3\right)$$

-7x ga -2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-10x^{2}+3x+18+14x^{2}-21x$$

4x^{2} ni olish uchun -10x^{2} va 14x^{2} ni birlashtirish.

$$4x^{2}+3x+18-21x$$

-18x ni olish uchun 3x va -21x ni birlashtirish.

$$4x^{2}-18x+18$$