=w^2005^2+(1-w)^2008^2+2w(1-w)*03*005*008 eching

$$= w ^ { 2 } 005 ^ { 2 } + ( 1 - w ) ^ { 2 } 008 ^ { 2 } + 2 w ( 1 - w ) \times 03 \times 005 \times 008$$

Baholash

$$\text{Indeterminate}$$

Yechim qadamlari

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

$$w^{2}\times 0\times 5^{2}+\left(1-w\right)^{2}\times 0\times 0\times 8^{2}+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$w^{2}\times 0\times 25+\left(1-w\right)^{2}\times 0\times 0\times 8^{2}+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 25 ni ko'paytirish.

$$w^{2}\times 0+\left(1-w\right)^{2}\times 0\times 0\times 8^{2}+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0+\left(1-w\right)^{2}\times 0\times 0\times 8^{2}+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

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

$$0+\left(1-2w+w^{2}\right)\times 0\times 0\times 8^{2}+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

$$0+\left(1-2w+w^{2}\right)\times 0\times 8^{2}+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$0+\left(1-2w+w^{2}\right)\times 0\times 64+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 64 ni ko'paytirish.

$$0+\left(1-2w+w^{2}\right)\times 0+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0+0+2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

0 olish uchun 0 va 0'ni qo'shing.

$$2w\left(1-w\right)\times 0\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 2 va 0 ni ko'paytirish.

$$0w\left(1-w\right)\times 3\times 0\times 0\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 3 ni ko'paytirish.

$$0w\left(1-w\right)\times 0\times 0\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

$$0w\left(1-w\right)\times 0\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

$$0w\left(1-w\right)\times 5\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$0w\left(1-w\right)\times 0\times 0\times 8$$

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

$$0w\left(1-w\right)\times 0\times 8$$

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

$$0w\left(1-w\right)\times 8$$

0 hosil qilish uchun 0 va 8 ni ko'paytirish.

$$0w\left(1-w\right)$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0$$