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\left(2x\right)^{2}-1^{2}-\left(x+1\right)\left(3x-2\right)
Hisoblang: \left(2x+1\right)\left(2x-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
2^{2}x^{2}-1^{2}-\left(x+1\right)\left(3x-2\right)
\left(2x\right)^{2} ni kengaytirish.
4x^{2}-1^{2}-\left(x+1\right)\left(3x-2\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
4x^{2}-1-\left(x+1\right)\left(3x-2\right)
2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.
4x^{2}-1-\left(3x^{2}-2x+3x-2\right)
x+1 ifodaning har bir elementini 3x-2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
4x^{2}-1-\left(3x^{2}+x-2\right)
x ni olish uchun -2x va 3x ni birlashtirish.
4x^{2}-1-3x^{2}-x-\left(-2\right)
3x^{2}+x-2 teskarisini topish uchun har birining teskarisini toping.
4x^{2}-1-3x^{2}-x+2
-2 ning teskarisi 2 ga teng.
x^{2}-1-x+2
x^{2} ni olish uchun 4x^{2} va -3x^{2} ni birlashtirish.
x^{2}+1-x
1 olish uchun -1 va 2'ni qo'shing.
\left(2x\right)^{2}-1^{2}-\left(x+1\right)\left(3x-2\right)
Hisoblang: \left(2x+1\right)\left(2x-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
2^{2}x^{2}-1^{2}-\left(x+1\right)\left(3x-2\right)
\left(2x\right)^{2} ni kengaytirish.
4x^{2}-1^{2}-\left(x+1\right)\left(3x-2\right)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
4x^{2}-1-\left(x+1\right)\left(3x-2\right)
2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.
4x^{2}-1-\left(3x^{2}-2x+3x-2\right)
x+1 ifodaning har bir elementini 3x-2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
4x^{2}-1-\left(3x^{2}+x-2\right)
x ni olish uchun -2x va 3x ni birlashtirish.
4x^{2}-1-3x^{2}-x-\left(-2\right)
3x^{2}+x-2 teskarisini topish uchun har birining teskarisini toping.
4x^{2}-1-3x^{2}-x+2
-2 ning teskarisi 2 ga teng.
x^{2}-1-x+2
x^{2} ni olish uchun 4x^{2} va -3x^{2} ni birlashtirish.
x^{2}+1-x
1 olish uchun -1 va 2'ni qo'shing.