因数 (3x-y)^2-12(3x-y)+36

解

因数

(3 x - y)^{2} - 12 (3 x - y) + 36

(3 x - y - 6)^{2}

解答ステップ

(3 x - y)^{2} - 12 (3 x - y) + 36

(3 x - y)^{2} - 12 (3 x - y) + 36

を書き換え

(3 x - y)^{2} - 2 (3 x - y) \cdot 6 + 6^{2}

= (3 x - y)^{2} - 2 (3 x - y) \cdot 6 + 6^{2}

完全平方式を適用する:

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

a = (3 x - y), b = 6

= ((3 x - y) - 6)^{2}

改良

= (3 x - y - 6)^{2}