(5n+1/2)(4n-4/5) eching

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

Baholash

$$20n^{2}-2n-\frac{2}{5}$$

Yechim qadamlari

5n+\frac{1}{2} ifodaning har bir elementini 4n-\frac{4}{5} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$20n^{2}+5n\left(-\frac{4}{5}\right)+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

5 va 5 ni qisqartiring.

$$20n^{2}-4n+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

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

$$20n^{2}-4n+\frac{4}{2}n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$20n^{2}-4n+2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

-2n ni olish uchun -4n va 2n ni birlashtirish.

$$20n^{2}-2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni -\frac{4}{5} ga ko‘paytiring.

$$20n^{2}-2n+\frac{1\left(-4\right)}{2\times 5}$$

\frac{1\left(-4\right)}{2\times 5} kasridagi ko‘paytirishlarni bajaring.

$$20n^{2}-2n+\frac{-4}{10}$$

\frac{-4}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$20n^{2}-2n-\frac{2}{5}$$

Kengaytirish

$$20n^{2}-2n-\frac{2}{5}$$

Yechim qadamlari

5n+\frac{1}{2} ifodaning har bir elementini 4n-\frac{4}{5} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$20n^{2}+5n\left(-\frac{4}{5}\right)+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

5 va 5 ni qisqartiring.

$$20n^{2}-4n+\frac{1}{2}\times 4n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

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

$$20n^{2}-4n+\frac{4}{2}n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$20n^{2}-4n+2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

-2n ni olish uchun -4n va 2n ni birlashtirish.

$$20n^{2}-2n+\frac{1}{2}\left(-\frac{4}{5}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni -\frac{4}{5} ga ko‘paytiring.

$$20n^{2}-2n+\frac{1\left(-4\right)}{2\times 5}$$

\frac{1\left(-4\right)}{2\times 5} kasridagi ko‘paytirishlarni bajaring.

$$20n^{2}-2n+\frac{-4}{10}$$

\frac{-4}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$20n^{2}-2n-\frac{2}{5}$$