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

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

Baholash

$$x^{2}+\frac{7x}{12}+\frac{1}{12}$$

Yechim qadamlari

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

$$x^{2}+x\times \frac{1}{4}+\frac{1}{3}x+\frac{1}{3}\times \frac{1}{4}$$

\frac{7}{12}x ni olish uchun x\times \frac{1}{4} va \frac{1}{3}x ni birlashtirish.

$$x^{2}+\frac{7}{12}x+\frac{1}{3}\times \frac{1}{4}$$

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

$$x^{2}+\frac{7}{12}x+\frac{1\times 1}{3\times 4}$$

\frac{1\times 1}{3\times 4} kasridagi ko‘paytirishlarni bajaring.

$$x^{2}+\frac{7}{12}x+\frac{1}{12}$$

Kengaytirish

$$x^{2}+\frac{7x}{12}+\frac{1}{12}$$

Yechim qadamlari

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

$$x^{2}+x\times \frac{1}{4}+\frac{1}{3}x+\frac{1}{3}\times \frac{1}{4}$$

\frac{7}{12}x ni olish uchun x\times \frac{1}{4} va \frac{1}{3}x ni birlashtirish.

$$x^{2}+\frac{7}{12}x+\frac{1}{3}\times \frac{1}{4}$$

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

$$x^{2}+\frac{7}{12}x+\frac{1\times 1}{3\times 4}$$

\frac{1\times 1}{3\times 4} kasridagi ko‘paytirishlarni bajaring.

$$x^{2}+\frac{7}{12}x+\frac{1}{12}$$