(5u^2+9)^2 eching

$$( 5 u ^ { 2 } + 9 ) ^ { 2 }$$

Kengaytirish

$$25u^{4}+90u^{2}+81$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(5u^{2}+9\right)^{2} kengaytirilishi uchun ishlating.

$$25\left(u^{2}\right)^{2}+90u^{2}+81$$

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

$$25u^{4}+90u^{2}+81$$

Baholash

$$\left(5u^{2}+9\right)^{2}$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(5u^{2}+9\right)^{2} kengaytirilishi uchun ishlating.

$$25\left(u^{2}\right)^{2}+90u^{2}+81$$

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

$$25u^{4}+90u^{2}+81$$