Lutasin ang =w^20.05^2+(1-w)^20.08^2+2w(1-w)*0.3*0.05*0.08

$$= w ^ { 2 } 0.05 ^ { 2 } + ( 1 - w ) ^ { 2 } 0.08 ^ { 2 } + 2 w ( 1 - w ) \times 0.3 \times 0.05 \times 0.08$$

I-evaluate

$$\frac{13w^{2}}{2000}-\frac{13w}{1250}+0.0064$$

Mga Hakbang ng Solution

Kalkulahin ang 0.05 sa power ng 2 at kunin ang 0.0025.

$$w^{2}\times 0.0025+\left(1-w\right)^{2}\times 0.08^{2}+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

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

$$w^{2}\times 0.0025+\left(1-2w+w^{2}\right)\times 0.08^{2}+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

Kalkulahin ang 0.08 sa power ng 2 at kunin ang 0.0064.

$$w^{2}\times 0.0025+\left(1-2w+w^{2}\right)\times 0.0064+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

Gamitin ang distributive property para i-multiply ang 1-2w+w^{2} gamit ang 0.0064.

$$w^{2}\times 0.0025+0.0064-0.0128w+0.0064w^{2}+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

Pagsamahin ang w^{2}\times 0.0025 at 0.0064w^{2} para makuha ang 0.0089w^{2}.

$$0.0089w^{2}+0.0064-0.0128w+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

I-multiply ang 2 at 0.3 para makuha ang 0.6.

$$0.0089w^{2}+0.0064-0.0128w+0.6w\left(1-w\right)\times 0.05\times 0.08$$

I-multiply ang 0.6 at 0.05 para makuha ang 0.03.

$$0.0089w^{2}+0.0064-0.0128w+0.03w\left(1-w\right)\times 0.08$$

I-multiply ang 0.03 at 0.08 para makuha ang 0.0024.

$$0.0089w^{2}+0.0064-0.0128w+0.0024w\left(1-w\right)$$

Gamitin ang distributive property para i-multiply ang 0.0024w gamit ang 1-w.

$$0.0089w^{2}+0.0064-0.0128w+0.0024w-0.0024w^{2}$$

Pagsamahin ang -0.0128w at 0.0024w para makuha ang -0.0104w.

$$0.0089w^{2}+0.0064-0.0104w-0.0024w^{2}$$

Pagsamahin ang 0.0089w^{2} at -0.0024w^{2} para makuha ang 0.0065w^{2}.

$$0.0065w^{2}+0.0064-0.0104w$$

Palawakin

$$\frac{13w^{2}}{2000}-\frac{13w}{1250}+0.0064$$

Mga Hakbang ng Solution

Kalkulahin ang 0.05 sa power ng 2 at kunin ang 0.0025.

$$w^{2}\times 0.0025+\left(1-w\right)^{2}\times 0.08^{2}+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

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

$$w^{2}\times 0.0025+\left(1-2w+w^{2}\right)\times 0.08^{2}+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

Kalkulahin ang 0.08 sa power ng 2 at kunin ang 0.0064.

$$w^{2}\times 0.0025+\left(1-2w+w^{2}\right)\times 0.0064+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

Gamitin ang distributive property para i-multiply ang 1-2w+w^{2} gamit ang 0.0064.

$$w^{2}\times 0.0025+0.0064-0.0128w+0.0064w^{2}+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

Pagsamahin ang w^{2}\times 0.0025 at 0.0064w^{2} para makuha ang 0.0089w^{2}.

$$0.0089w^{2}+0.0064-0.0128w+2w\left(1-w\right)\times 0.3\times 0.05\times 0.08$$

I-multiply ang 2 at 0.3 para makuha ang 0.6.

$$0.0089w^{2}+0.0064-0.0128w+0.6w\left(1-w\right)\times 0.05\times 0.08$$

I-multiply ang 0.6 at 0.05 para makuha ang 0.03.

$$0.0089w^{2}+0.0064-0.0128w+0.03w\left(1-w\right)\times 0.08$$

I-multiply ang 0.03 at 0.08 para makuha ang 0.0024.

$$0.0089w^{2}+0.0064-0.0128w+0.0024w\left(1-w\right)$$

Gamitin ang distributive property para i-multiply ang 0.0024w gamit ang 1-w.

$$0.0089w^{2}+0.0064-0.0128w+0.0024w-0.0024w^{2}$$

Pagsamahin ang -0.0128w at 0.0024w para makuha ang -0.0104w.

$$0.0089w^{2}+0.0064-0.0104w-0.0024w^{2}$$

Pagsamahin ang 0.0089w^{2} at -0.0024w^{2} para makuha ang 0.0065w^{2}.

$$0.0065w^{2}+0.0064-0.0104w$$