簡約 (x+1)^3(x-0.5)^3(x-2.5)(x-3)^2(x^2+3)

解

簡約

(x + 1)^{3} (x - 0.5)^{3} (x - 2.5) (x - 3)^{2} (x^{2} + 3)

(x + 1)^{3} (x - 3)^{2} (x - 0.5)^{3} (x - 2.5) (x^{2} + 3)

解答ステップ

(x + 1)^{3} (x - 0.5)^{3} (x - 2.5) (x - 3)^{2} (x^{2} + 3)

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 + 1)^{3} (x - 0.5)^{3} = ((x + 1) (x - 0.5))^{3}

= ((x + 1) (x - 0.5))^{3} (x - 2.5) (x - 3)^{2} (x^{2} + 3)

((x + 1) (x - 0.5))^{3} = (x + 1)^{3} (x - 0.5)^{3}

= (x + 1)^{3} (x - 0.5)^{3} (x - 2.5) (x - 3)^{2} (x^{2} + 3)