(x-1/2y)(x-5/2y) eching

$$(x- \frac{ 1 }{ 2 } y)(x- \frac{ 5 }{ 2 } y)$$

Baholash

$$-3xy+\frac{5y^{2}}{4}+x^{2}$$

Yechim qadamlari

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

$$x^{2}+x\left(-\frac{5}{2}\right)y-\frac{1}{2}yx-\frac{1}{2}y\left(-\frac{5}{2}\right)y$$

y^{2} hosil qilish uchun y va y ni ko'paytirish.

$$x^{2}+x\left(-\frac{5}{2}\right)y-\frac{1}{2}yx-\frac{1}{2}y^{2}\left(-\frac{5}{2}\right)$$

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

$$x^{2}-3xy-\frac{1}{2}y^{2}\left(-\frac{5}{2}\right)$$

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

$$x^{2}-3xy+\frac{-\left(-5\right)}{2\times 2}y^{2}$$

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

$$x^{2}-3xy+\frac{5}{4}y^{2}$$

Kengaytirish

$$-3xy+\frac{5y^{2}}{4}+x^{2}$$

Yechim qadamlari

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

$$x^{2}+x\left(-\frac{5}{2}\right)y-\frac{1}{2}yx-\frac{1}{2}y\left(-\frac{5}{2}\right)y$$

y^{2} hosil qilish uchun y va y ni ko'paytirish.

$$x^{2}+x\left(-\frac{5}{2}\right)y-\frac{1}{2}yx-\frac{1}{2}y^{2}\left(-\frac{5}{2}\right)$$

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

$$x^{2}-3xy-\frac{1}{2}y^{2}\left(-\frac{5}{2}\right)$$

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

$$x^{2}-3xy+\frac{-\left(-5\right)}{2\times 2}y^{2}$$

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

$$x^{2}-3xy+\frac{5}{4}y^{2}$$