(mm-frac{1}2^2)^2 eching

$$( m m - \frac { 1 } { 2 } ^ { 2 } ) ^ { 2 }$$

Baholash

$$\frac{\left(4m^{2}-1\right)^{2}}{16}$$

Yechim qadamlari

m^{2} hosil qilish uchun m va m ni ko'paytirish.

$$\left(m^{2}-\left(\frac{1}{2}\right)^{2}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\left(m^{2}-\frac{1}{4}\right)^{2}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(m^{2}-\frac{1}{4}\right)^{2} kengaytirilishi uchun ishlating.

$$\left(m^{2}\right)^{2}-\frac{1}{2}m^{2}+\frac{1}{16}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$m^{4}-\frac{1}{2}m^{2}+\frac{1}{16}$$

Kengaytirish

$$m^{4}-\frac{m^{2}}{2}+\frac{1}{16}$$

Yechim qadamlari

m^{2} hosil qilish uchun m va m ni ko'paytirish.

$$\left(m^{2}-\left(\frac{1}{2}\right)^{2}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\left(m^{2}-\frac{1}{4}\right)^{2}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(m^{2}-\frac{1}{4}\right)^{2} kengaytirilishi uchun ishlating.

$$\left(m^{2}\right)^{2}-\frac{1}{2}m^{2}+\frac{1}{16}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$m^{4}-\frac{1}{2}m^{2}+\frac{1}{16}$$