Baholash
x^{2}
Kengaytirish
x^{2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{1}{4}x^{2}-x+1+\left(\frac{1}{2}x-1\right)\left(\frac{1}{2}x+1\right)+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(\frac{1}{2}x-1\right)^{2} kengaytirilishi uchun ishlating.
\frac{1}{4}x^{2}-x+1+\left(\frac{1}{2}x\right)^{2}-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
Hisoblang: \left(\frac{1}{2}x-1\right)\left(\frac{1}{2}x+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1 kvadratini chiqarish.
\frac{1}{4}x^{2}-x+1+\left(\frac{1}{2}\right)^{2}x^{2}-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
\left(\frac{1}{2}x\right)^{2} ni kengaytirish.
\frac{1}{4}x^{2}-x+1+\frac{1}{4}x^{2}-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.
\frac{1}{2}x^{2}-x+1-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
\frac{1}{2}x^{2} ni olish uchun \frac{1}{4}x^{2} va \frac{1}{4}x^{2} ni birlashtirish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
0 olish uchun 1 dan 1 ni ayirish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x\right)^{2}-1
Hisoblang: \left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1 kvadratini chiqarish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}\right)^{2}x^{2}-1
\left(-\frac{1}{2}x\right)^{2} ni kengaytirish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\frac{1}{4}x^{2}-1
2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.
\frac{3}{4}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}-1
\frac{3}{4}x^{2} ni olish uchun \frac{1}{2}x^{2} va \frac{1}{4}x^{2} ni birlashtirish.
\frac{3}{4}x^{2}-x+\frac{1}{4}x^{2}+x+1-1
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(\frac{1}{2}x+1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}-x+x+1-1
x^{2} ni olish uchun \frac{3}{4}x^{2} va \frac{1}{4}x^{2} ni birlashtirish.
x^{2}+1-1
0 ni olish uchun -x va x ni birlashtirish.
x^{2}
0 olish uchun 1 dan 1 ni ayirish.
\frac{1}{4}x^{2}-x+1+\left(\frac{1}{2}x-1\right)\left(\frac{1}{2}x+1\right)+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(\frac{1}{2}x-1\right)^{2} kengaytirilishi uchun ishlating.
\frac{1}{4}x^{2}-x+1+\left(\frac{1}{2}x\right)^{2}-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
Hisoblang: \left(\frac{1}{2}x-1\right)\left(\frac{1}{2}x+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1 kvadratini chiqarish.
\frac{1}{4}x^{2}-x+1+\left(\frac{1}{2}\right)^{2}x^{2}-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
\left(\frac{1}{2}x\right)^{2} ni kengaytirish.
\frac{1}{4}x^{2}-x+1+\frac{1}{4}x^{2}-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.
\frac{1}{2}x^{2}-x+1-1+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
\frac{1}{2}x^{2} ni olish uchun \frac{1}{4}x^{2} va \frac{1}{4}x^{2} ni birlashtirish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right)
0 olish uchun 1 dan 1 ni ayirish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}x\right)^{2}-1
Hisoblang: \left(-\frac{1}{2}x-1\right)\left(-\frac{1}{2}x+1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1 kvadratini chiqarish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\left(-\frac{1}{2}\right)^{2}x^{2}-1
\left(-\frac{1}{2}x\right)^{2} ni kengaytirish.
\frac{1}{2}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}+\frac{1}{4}x^{2}-1
2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.
\frac{3}{4}x^{2}-x+\left(\frac{1}{2}x+1\right)^{2}-1
\frac{3}{4}x^{2} ni olish uchun \frac{1}{2}x^{2} va \frac{1}{4}x^{2} ni birlashtirish.
\frac{3}{4}x^{2}-x+\frac{1}{4}x^{2}+x+1-1
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(\frac{1}{2}x+1\right)^{2} kengaytirilishi uchun ishlating.
x^{2}-x+x+1-1
x^{2} ni olish uchun \frac{3}{4}x^{2} va \frac{1}{4}x^{2} ni birlashtirish.
x^{2}+1-1
0 ni olish uchun -x va x ni birlashtirish.
x^{2}
0 olish uchun 1 dan 1 ni ayirish.
Misollar
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