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

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

Calcular

$$\text{Indeterminate}$$

Pasos da solución

Multiplica 0 e 0 para obter 0.

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

Calcula 5 á potencia de 2 e obtén 25.

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

Multiplica 0 e 25 para obter 0.

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

Calquera valor multiplicado por cero é igual a cero.

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

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

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

Multiplica 0 e 0 para obter 0.

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

Calcula 8 á potencia de 2 e obtén 64.

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

Multiplica 0 e 64 para obter 0.

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

Calquera valor multiplicado por cero é igual a cero.

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

Suma 0 e 0 para obter 0.

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

Multiplica 2 e 0 para obter 0.

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

Multiplica 0 e 3 para obter 0.

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

Multiplica 0 e 0 para obter 0.

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

Multiplica 0 e 0 para obter 0.

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

Multiplica 0 e 5 para obter 0.

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

Multiplica 0 e 0 para obter 0.

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

Multiplica 0 e 0 para obter 0.

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

Multiplica 0 e 8 para obter 0.

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

Calquera valor multiplicado por cero é igual a cero.

$$0$$