(x+4/3)(x-1/2) eching

$$( x + \frac { 4 } { 3 } ) ( x - \frac { 1 } { 2 } )$$

Baholash

$$x^{2}+\frac{5x}{6}-\frac{2}{3}$$

Yechim qadamlari

x+\frac{4}{3} ifodaning har bir elementini x-\frac{1}{2} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

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

\frac{5}{6}x ni olish uchun x\left(-\frac{1}{2}\right) va \frac{4}{3}x ni birlashtirish.

$$x^{2}+\frac{5}{6}x+\frac{4}{3}\left(-\frac{1}{2}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni -\frac{1}{2} ga ko‘paytiring.

$$x^{2}+\frac{5}{6}x+\frac{4\left(-1\right)}{3\times 2}$$

\frac{4\left(-1\right)}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

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

\frac{-4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}+\frac{5}{6}x-\frac{2}{3}$$

Kengaytirish

$$x^{2}+\frac{5x}{6}-\frac{2}{3}$$

Yechim qadamlari

x+\frac{4}{3} ifodaning har bir elementini x-\frac{1}{2} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

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

\frac{5}{6}x ni olish uchun x\left(-\frac{1}{2}\right) va \frac{4}{3}x ni birlashtirish.

$$x^{2}+\frac{5}{6}x+\frac{4}{3}\left(-\frac{1}{2}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni -\frac{1}{2} ga ko‘paytiring.

$$x^{2}+\frac{5}{6}x+\frac{4\left(-1\right)}{3\times 2}$$

\frac{4\left(-1\right)}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

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

\frac{-4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}+\frac{5}{6}x-\frac{2}{3}$$