expand βe(4-θ^2)^2-2t^2e

פתרון

expand

β e (4 - θ^{2})^{2} - 2 t^{2} e

16 e β - 8 e β θ^{2} + e β θ^{4} - 2 e t^{2}

צעדי פתרון

β e (4 - θ^{2})^{2} - 2 t^{2} e

(4 - θ^{2})^{2} = 16 - 8 θ^{2} + θ^{4}

= e β (θ^{4} - 8 θ^{2} + 16) - 2 e t^{2}

= e β (16 - 8 θ^{2} + θ^{4}) - 2 e t^{2}

β e (16 - 8 θ^{2} + θ^{4})

הרחב את:

16 e β - 8 e β θ^{2} + e β θ^{4}

= 16 e β - 8 e β θ^{2} + e β θ^{4} - 2 t^{2} e

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