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

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

Avaliar

$$\text{Indeterminate}$$

Passos Para a Resolução

Multiplique 0 e 0 para obter 0.

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

Calcule 5 elevado a 2 e obtenha 25.

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

Multiplique 0 e 25 para obter 0.

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

Qualquer valor vezes zero dá zero.

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

Utilize o teorema binomial \left(a-b\right)^{2}=a^{2}-2ab+b^{2} para expandir \left(1-w\right)^{2}.

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

Multiplique 0 e 0 para obter 0.

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

Calcule 8 elevado a 2 e obtenha 64.

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

Multiplique 0 e 64 para obter 0.

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

Qualquer valor vezes zero dá zero.

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

Some 0 e 0 para obter 0.

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

Multiplique 2 e 0 para obter 0.

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

Multiplique 0 e 3 para obter 0.

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

Multiplique 0 e 0 para obter 0.

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

Multiplique 0 e 0 para obter 0.

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

Multiplique 0 e 5 para obter 0.

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

Multiplique 0 e 0 para obter 0.

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

Multiplique 0 e 0 para obter 0.

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

Multiplique 0 e 8 para obter 0.

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

Qualquer valor vezes zero dá zero.

$$0$$