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

$$( 2 x - y + 3 ) ( 2 x - y - 3 )$$

Baholash

$$\left(2x-y\right)^{2}-9$$

Yechim qadamlari

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, bu yerda a=2x-y va b=3.

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

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

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$4x^{2}-4xy+y^{2}-9$$

Kengaytirish

$$4x^{2}-4xy+y^{2}-9$$

Yechim qadamlari

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, bu yerda a=2x-y va b=3.

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

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

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$4x^{2}-4xy+y^{2}-9$$