1/2(4x-5)(2x+6) eching

$$\frac { 1 } { 2 } ( 4 x - 5 ) ( 2 x + 6 )$$

Baholash

$$\left(4x-5\right)\left(x+3\right)$$

Yechim qadamlari

\frac{1}{2} ga 4x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(\frac{1}{2}\times 4x+\frac{1}{2}\left(-5\right)\right)\left(2x+6\right)$$

\frac{4}{2} hosil qilish uchun \frac{1}{2} va 4 ni ko'paytirish.

$$\left(\frac{4}{2}x+\frac{1}{2}\left(-5\right)\right)\left(2x+6\right)$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$\left(2x+\frac{1}{2}\left(-5\right)\right)\left(2x+6\right)$$

\frac{-5}{2} hosil qilish uchun \frac{1}{2} va -5 ni ko'paytirish.

$$\left(2x+\frac{-5}{2}\right)\left(2x+6\right)$$

\frac{-5}{2} kasri manfiy belgini olib tashlash bilan -\frac{5}{2} sifatida qayta yozilishi mumkin.

$$\left(2x-\frac{5}{2}\right)\left(2x+6\right)$$

2x-\frac{5}{2} ifodaning har bir elementini 2x+6 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4x^{2}+12x-\frac{5}{2}\times 2x-\frac{5}{2}\times 6$$

2 va 2 ni qisqartiring.

$$4x^{2}+12x-5x-\frac{5}{2}\times 6$$

7x ni olish uchun 12x va -5x ni birlashtirish.

$$4x^{2}+7x-\frac{5}{2}\times 6$$

-\frac{5}{2}\times 6 ni yagona kasrga aylantiring.

$$4x^{2}+7x+\frac{-5\times 6}{2}$$

-30 hosil qilish uchun -5 va 6 ni ko'paytirish.

$$4x^{2}+7x+\frac{-30}{2}$$

-15 ni olish uchun -30 ni 2 ga bo‘ling.

$$4x^{2}+7x-15$$

Kengaytirish

$$4x^{2}+7x-15$$

Yechim qadamlari

\frac{1}{2} ga 4x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(\frac{1}{2}\times 4x+\frac{1}{2}\left(-5\right)\right)\left(2x+6\right)$$

\frac{4}{2} hosil qilish uchun \frac{1}{2} va 4 ni ko'paytirish.

$$\left(\frac{4}{2}x+\frac{1}{2}\left(-5\right)\right)\left(2x+6\right)$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$\left(2x+\frac{1}{2}\left(-5\right)\right)\left(2x+6\right)$$

\frac{-5}{2} hosil qilish uchun \frac{1}{2} va -5 ni ko'paytirish.

$$\left(2x+\frac{-5}{2}\right)\left(2x+6\right)$$

\frac{-5}{2} kasri manfiy belgini olib tashlash bilan -\frac{5}{2} sifatida qayta yozilishi mumkin.

$$\left(2x-\frac{5}{2}\right)\left(2x+6\right)$$

2x-\frac{5}{2} ifodaning har bir elementini 2x+6 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4x^{2}+12x-\frac{5}{2}\times 2x-\frac{5}{2}\times 6$$

2 va 2 ni qisqartiring.

$$4x^{2}+12x-5x-\frac{5}{2}\times 6$$

7x ni olish uchun 12x va -5x ni birlashtirish.

$$4x^{2}+7x-\frac{5}{2}\times 6$$

-\frac{5}{2}\times 6 ni yagona kasrga aylantiring.

$$4x^{2}+7x+\frac{-5\times 6}{2}$$

-30 hosil qilish uchun -5 va 6 ni ko'paytirish.

$$4x^{2}+7x+\frac{-30}{2}$$

-15 ni olish uchun -30 ni 2 ga bo‘ling.

$$4x^{2}+7x-15$$