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

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

I-evaluate

$$\text{Indeterminate}$$

Mga Hakbang ng Solution

I-multiply ang 0 at 0 para makuha ang 0.

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

Kalkulahin ang 5 sa power ng 2 at kunin ang 25.

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

I-multiply ang 0 at 25 para makuha ang 0.

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

Ang kahit anong imu-multiply sa zero ay zero pa rin.

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

Gamitin ang binomial theorem na \left(a-b\right)^{2}=a^{2}-2ab+b^{2} para palawakin ang \left(1-w\right)^{2}.

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

I-multiply ang 0 at 0 para makuha ang 0.

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

Kalkulahin ang 8 sa power ng 2 at kunin ang 64.

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

I-multiply ang 0 at 64 para makuha ang 0.

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

Ang kahit anong imu-multiply sa zero ay zero pa rin.

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

Idagdag ang 0 at 0 para makuha ang 0.

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

I-multiply ang 2 at 0 para makuha ang 0.

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

I-multiply ang 0 at 3 para makuha ang 0.

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

I-multiply ang 0 at 0 para makuha ang 0.

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

I-multiply ang 0 at 0 para makuha ang 0.

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

I-multiply ang 0 at 5 para makuha ang 0.

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

I-multiply ang 0 at 0 para makuha ang 0.

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

I-multiply ang 0 at 0 para makuha ang 0.

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

I-multiply ang 0 at 8 para makuha ang 0.

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

Ang kahit anong imu-multiply sa zero ay zero pa rin.

$$0$$