簡約 (20sqrt(3-0.4h)-4h)^2

解

簡約

(20 3 - 0.4 h - 4 h)^{2}

400 (3 - 0.4 h) - 160 h 3 - 0.4 h + 16 h^{2}

解答ステップ

(20 3 - 0.4 h - 4 h)^{2}

完全平方式を適用する:

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

(20 3 - 0.4 h - 4 h)^{2} = (20 3 - 0.4 h)^{2} - 2 \cdot 20 3 - 0.4 h \cdot 4 h + (4 h)^{2}

= (20 3 - 0.4 h)^{2} - 2 \cdot 20 3 - 0.4 h \cdot 4 h + (4 h)^{2}

(20 3 - 0.4 h)^{2} = 400 (3 - 0.4 h)

- 2 \cdot 20 3 - 0.4 h \cdot 4 h = - 160 h 3 - 0.4 h

(4 h)^{2} = 16 h^{2}

= 400 (3 - 0.4 h) - 160 h 3 - 0.4 h + 16 h^{2}