(2n-1/2)(2n-1/4) eching

$$( 2 n - \frac { 1 } { 2 } ) ( 2 n - \frac { 1 } { 4 } )$$

Baholash

$$4n^{2}-\frac{3n}{2}+\frac{1}{8}$$

Yechim qadamlari

2n-\frac{1}{2} ifodaning har bir elementini 2n-\frac{1}{4} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4n^{2}+2n\left(-\frac{1}{4}\right)-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

2\left(-\frac{1}{4}\right) ni yagona kasrga aylantiring.

$$4n^{2}+\frac{2\left(-1\right)}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$4n^{2}+\frac{-2}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

\frac{-2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$4n^{2}-\frac{1}{2}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

2 va 2 ni qisqartiring.

$$4n^{2}-\frac{1}{2}n-n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

-\frac{3}{2}n ni olish uchun -\frac{1}{2}n va -n ni birlashtirish.

$$4n^{2}-\frac{3}{2}n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{2} ni -\frac{1}{4} ga ko‘paytiring.

$$4n^{2}-\frac{3}{2}n+\frac{-\left(-1\right)}{2\times 4}$$

\frac{-\left(-1\right)}{2\times 4} kasridagi ko‘paytirishlarni bajaring.

$$4n^{2}-\frac{3}{2}n+\frac{1}{8}$$

Kengaytirish

$$4n^{2}-\frac{3n}{2}+\frac{1}{8}$$

Yechim qadamlari

2n-\frac{1}{2} ifodaning har bir elementini 2n-\frac{1}{4} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$4n^{2}+2n\left(-\frac{1}{4}\right)-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

2\left(-\frac{1}{4}\right) ni yagona kasrga aylantiring.

$$4n^{2}+\frac{2\left(-1\right)}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$4n^{2}+\frac{-2}{4}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

\frac{-2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$4n^{2}-\frac{1}{2}n-\frac{1}{2}\times 2n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

2 va 2 ni qisqartiring.

$$4n^{2}-\frac{1}{2}n-n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

-\frac{3}{2}n ni olish uchun -\frac{1}{2}n va -n ni birlashtirish.

$$4n^{2}-\frac{3}{2}n-\frac{1}{2}\left(-\frac{1}{4}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{2} ni -\frac{1}{4} ga ko‘paytiring.

$$4n^{2}-\frac{3}{2}n+\frac{-\left(-1\right)}{2\times 4}$$

\frac{-\left(-1\right)}{2\times 4} kasridagi ko‘paytirishlarni bajaring.

$$4n^{2}-\frac{3}{2}n+\frac{1}{8}$$