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

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

Baholash

$$10x^{2}-2y^{2}$$

Yechim qadamlari

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

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

\left(3x\right)^{2} ni kengaytirish.

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

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

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

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

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

10x^{2} ni olish uchun 9x^{2} va x^{2} ni birlashtirish.

$$10x^{2}-y^{2}-y^{2}$$

-2y^{2} ni olish uchun -y^{2} va -y^{2} ni birlashtirish.

$$10x^{2}-2y^{2}$$

Kengaytirish

$$10x^{2}-2y^{2}$$

Yechim qadamlari

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

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

\left(3x\right)^{2} ni kengaytirish.

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

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

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

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

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

10x^{2} ni olish uchun 9x^{2} va x^{2} ni birlashtirish.

$$10x^{2}-y^{2}-y^{2}$$

-2y^{2} ni olish uchun -y^{2} va -y^{2} ni birlashtirish.

$$10x^{2}-2y^{2}$$