(3x-1)(3x+1)-(x-4)(9x+1) eching

$$( 3 x - 1 ) ( 3 x + 1 ) - ( x - 4 ) ( 9 x + 1 )$$

Baholash

$$35x+3$$

Yechim qadamlari

Hisoblang: \left(3x-1\right)\left(3x+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(3x\right)^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)$$

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

$$3^{2}x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)$$

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

$$9x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$9x^{2}-1-\left(x-4\right)\left(9x+1\right)$$

x-4 ifodaning har bir elementini 9x+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$9x^{2}-1-\left(9x^{2}+x-36x-4\right)$$

-35x ni olish uchun x va -36x ni birlashtirish.

$$9x^{2}-1-\left(9x^{2}-35x-4\right)$$

9x^{2}-35x-4 teskarisini topish uchun har birining teskarisini toping.

$$9x^{2}-1-9x^{2}-\left(-35x\right)-\left(-4\right)$$

-35x ning teskarisi 35x ga teng.

$$9x^{2}-1-9x^{2}+35x-\left(-4\right)$$

-4 ning teskarisi 4 ga teng.

$$9x^{2}-1-9x^{2}+35x+4$$

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

$$-1+35x+4$$

3 olish uchun -1 va 4'ni qo'shing.

$$3+35x$$

Kengaytirish

$$35x+3$$

Yechim qadamlari

Hisoblang: \left(3x-1\right)\left(3x+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(3x\right)^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)$$

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

$$3^{2}x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)$$

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

$$9x^{2}-1^{2}-\left(x-4\right)\left(9x+1\right)$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$9x^{2}-1-\left(x-4\right)\left(9x+1\right)$$

x-4 ifodaning har bir elementini 9x+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$9x^{2}-1-\left(9x^{2}+x-36x-4\right)$$

-35x ni olish uchun x va -36x ni birlashtirish.

$$9x^{2}-1-\left(9x^{2}-35x-4\right)$$

9x^{2}-35x-4 teskarisini topish uchun har birining teskarisini toping.

$$9x^{2}-1-9x^{2}-\left(-35x\right)-\left(-4\right)$$

-35x ning teskarisi 35x ga teng.

$$9x^{2}-1-9x^{2}+35x-\left(-4\right)$$

-4 ning teskarisi 4 ga teng.

$$9x^{2}-1-9x^{2}+35x+4$$

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

$$-1+35x+4$$

3 olish uchun -1 va 4'ni qo'shing.

$$3+35x$$