簡約 (1/3 x-3y)^2

解

簡約

(\frac{1}{3} x - 3 y)^{2}

\frac{x ^{2}}{9} - 2 x y + 9 y^{2}

解答ステップ

(\frac{1}{3} x - 3 y)^{2}

\frac{1}{3} x = \frac{x}{3}

= (\frac{x}{3} - 3 y)^{2}

完全平方式を適用する:

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

a = \frac{x}{3}, b = 3 y

= (\frac{x}{3})^{2} - 2 \cdot \frac{x}{3} \cdot 3 y + (3 y)^{2}

簡素化

(\frac{x}{3})^{2} - 2 \cdot \frac{x}{3} \cdot 3 y + (3 y)^{2} : \frac{x ^{2}}{9} - 2 x y + 9 y^{2}

= \frac{x ^{2}}{9} - 2 x y + 9 y^{2}