簡約 (6x^4y^2-6x^3y^2+6x^2y^2)(6x^2y^2)

解

簡約

(6 x^{4} y^{2} - 6 x^{3} y^{2} + 6 x^{2} y^{2}) (6 x^{2} y^{2})

6 x^{2} y^{2} (6 x^{4} y^{2} - 6 x^{3} y^{2} + 6 x^{2} y^{2})

解答ステップ

(6 x^{4} y^{2} - 6 x^{3} y^{2} + 6 x^{2} y^{2}) (6 x^{2} y^{2})

指数の規則を適用する:

a^{m} b^{m} = (ab)^{m},

, 以下を想定

a \geq 0, b \geq 0

x^{2} y^{2} = (x y)^{2}

= 6 (6 x^{4} y^{2} - 6 x^{3} y^{2} + 6 x^{2} y^{2}) (x y)^{2}

(x y)^{2} = x^{2} y^{2}

= 6 x^{2} y^{2} (6 x^{4} y^{2} - 6 x^{3} y^{2} + 6 x^{2} y^{2})