展開する (4.45h^2dl-3.16d^2zt)^3

解

展開する

(4.45 h^{2} d l - 3.16 d^{2} z t)^{3}

88.121125 h^{6} d l^{3} - 187.7277 d^{2} h^{4} z t d l^{2} + 133.30776 d^{4} h^{2} z^{2} t^{2} d l - 31.554496 d^{6} z^{3} t^{3}

解答ステップ

(4.45 h^{2} d l - 3.16 d^{2} z t)^{3}

完全立方式を適用する:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

a = 4.45 h^{2} d l, b = 3.16 d^{2} z t

= (4.45 h^{2} d l)^{3} - 3 (4.45 h^{2} d l)^{2} \cdot 3.16 d^{2} z t + 3 \cdot 4.45 h^{2} d l (3.16 d^{2} z t)^{2} - (3.16 d^{2} z t)^{3}

簡素化

(4.45 h^{2} d l)^{3} - 3 (4.45 h^{2} d l)^{2} \cdot 3.16 d^{2} z t + 3 \cdot 4.45 h^{2} d l (3.16 d^{2} z t)^{2} - (3.16 d^{2} z t)^{3} : 88.121125 h^{6} d l^{3} - 187.7277 d^{2} h^{4} z t d l^{2} + 133.30776 d^{4} h^{2} z^{2} t^{2} d l - 31.554496 d^{6} z^{3} t^{3}

= 88.121125 h^{6} d l^{3} - 187.7277 d^{2} h^{4} z t d l^{2} + 133.30776 d^{4} h^{2} z^{2} t^{2} d l - 31.554496 d^{6} z^{3} t^{3}