(x+y)^2+3(x+y)+2 eching

$$( x + y ) ^ { 2 } + 3 ( x + y ) + 2$$

Baholash

$$\left(x+y+1\right)\left(x+y+2\right)$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.

$$x^{2}+2xy+y^{2}+3\left(x+y\right)+2$$

3 ga x+y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+2xy+y^{2}+3x+3y+2$$

Kengaytirish

$$x^{2}+2xy+3x+y^{2}+3y+2$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+y\right)^{2} kengaytirilishi uchun ishlating.

$$x^{2}+2xy+y^{2}+3\left(x+y\right)+2$$

3 ga x+y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+2xy+y^{2}+3x+3y+2$$