12(x-y)^2+7(x-y)-12 eching

$$12 ( x - y ) ^ { 2 } + 7 ( x - y ) - 12$$

Baholash

$$\left(4x-4y-3\right)\left(3x-3y+4\right)$$

Yechim qadamlari

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

$$12\left(x^{2}-2xy+y^{2}\right)+7\left(x-y\right)-12$$

12 ga x^{2}-2xy+y^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12x^{2}-24xy+12y^{2}+7\left(x-y\right)-12$$

7 ga x-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12x^{2}-24xy+12y^{2}+7x-7y-12$$

Kengaytirish

$$12x^{2}-24xy+7x+12y^{2}-7y-12$$

Yechim qadamlari

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

$$12\left(x^{2}-2xy+y^{2}\right)+7\left(x-y\right)-12$$

12 ga x^{2}-2xy+y^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12x^{2}-24xy+12y^{2}+7\left(x-y\right)-12$$

7 ga x-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12x^{2}-24xy+12y^{2}+7x-7y-12$$