簡約 (2x^2y^3)(x^3+x^2)^2

解

簡約

(2 x^{2} y^{3}) (x^{3} + x^{2})^{2}

2 x^{2} y^{3} (x^{3} + x^{2})^{2}

解答ステップ

(2 x^{2} y^{3}) (x^{3} + x^{2})^{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} (x^{3} + x^{2})^{2} = (x (x^{3} + x^{2}))^{2}

= 2 y^{3} (x (x^{3} + x^{2}))^{2}

(x (x^{3} + x^{2}))^{2} = x^{2} (x^{3} + x^{2})^{2}

= 2 x^{2} y^{3} (x^{3} + x^{2})^{2}