(3z-1/2+b)(3z-b-1/2) eching

$$( 3 z - \frac { 1 } { 2 } + b ) ( 3 z - b - \frac { 1 } { 2 } )$$

Baholash

$$\frac{\left(6z-1\right)^{2}}{4}-b^{2}$$

Yechim qadamlari

3z-\frac{1}{2}+b ifodaning har bir elementini 3z-b-\frac{1}{2} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$9z^{2}-3zb+3z\left(-\frac{1}{2}\right)-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

3\left(-\frac{1}{2}\right) ni yagona kasrga aylantiring.

$$9z^{2}-3zb+\frac{3\left(-1\right)}{2}z-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

-3 hosil qilish uchun 3 va -1 ni ko'paytirish.

$$9z^{2}-3zb+\frac{-3}{2}z-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$9z^{2}-3zb-\frac{3}{2}z-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

-\frac{1}{2}\times 3 ni yagona kasrga aylantiring.

$$9z^{2}-3zb-\frac{3}{2}z+\frac{-3}{2}z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$9z^{2}-3zb-\frac{3}{2}z-\frac{3}{2}z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

-3z ni olish uchun -\frac{3}{2}z va -\frac{3}{2}z ni birlashtirish.

$$9z^{2}-3zb-3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

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

$$9z^{2}-3zb-3z+\frac{1}{2}b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{2} ni -\frac{1}{2} ga ko‘paytiring.

$$9z^{2}-3zb-3z+\frac{1}{2}b+\frac{-\left(-1\right)}{2\times 2}+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

\frac{-\left(-1\right)}{2\times 2} kasridagi ko‘paytirishlarni bajaring.

$$9z^{2}-3zb-3z+\frac{1}{2}b+\frac{1}{4}+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

0 ni olish uchun -3zb va 3bz ni birlashtirish.

$$9z^{2}-3z+\frac{1}{2}b+\frac{1}{4}-b^{2}+b\left(-\frac{1}{2}\right)$$

0 ni olish uchun \frac{1}{2}b va b\left(-\frac{1}{2}\right) ni birlashtirish.

$$9z^{2}-3z+\frac{1}{4}-b^{2}$$

Kengaytirish

$$9z^{2}-3z-b^{2}+\frac{1}{4}$$

Yechim qadamlari

3z-\frac{1}{2}+b ifodaning har bir elementini 3z-b-\frac{1}{2} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$9z^{2}-3zb+3z\left(-\frac{1}{2}\right)-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

3\left(-\frac{1}{2}\right) ni yagona kasrga aylantiring.

$$9z^{2}-3zb+\frac{3\left(-1\right)}{2}z-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

-3 hosil qilish uchun 3 va -1 ni ko'paytirish.

$$9z^{2}-3zb+\frac{-3}{2}z-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$9z^{2}-3zb-\frac{3}{2}z-\frac{1}{2}\times 3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

-\frac{1}{2}\times 3 ni yagona kasrga aylantiring.

$$9z^{2}-3zb-\frac{3}{2}z+\frac{-3}{2}z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$9z^{2}-3zb-\frac{3}{2}z-\frac{3}{2}z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

-3z ni olish uchun -\frac{3}{2}z va -\frac{3}{2}z ni birlashtirish.

$$9z^{2}-3zb-3z-\frac{1}{2}\left(-1\right)b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

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

$$9z^{2}-3zb-3z+\frac{1}{2}b-\frac{1}{2}\left(-\frac{1}{2}\right)+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{2} ni -\frac{1}{2} ga ko‘paytiring.

$$9z^{2}-3zb-3z+\frac{1}{2}b+\frac{-\left(-1\right)}{2\times 2}+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

\frac{-\left(-1\right)}{2\times 2} kasridagi ko‘paytirishlarni bajaring.

$$9z^{2}-3zb-3z+\frac{1}{2}b+\frac{1}{4}+3bz-b^{2}+b\left(-\frac{1}{2}\right)$$

0 ni olish uchun -3zb va 3bz ni birlashtirish.

$$9z^{2}-3z+\frac{1}{2}b+\frac{1}{4}-b^{2}+b\left(-\frac{1}{2}\right)$$

0 ni olish uchun \frac{1}{2}b va b\left(-\frac{1}{2}\right) ni birlashtirish.

$$9z^{2}-3z+\frac{1}{4}-b^{2}$$