簡約 (ucos(v))(2u^2*cos(v))

解

簡約

(u \cdot cos (v)) \cdot (2 u^{2} \cdot cos (v))

2 u^{3} cos^{2} (v)

解答ステップ

(u cos (v)) (2 u^{2} cos (v))

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

cos (v) cos (v) = cos^{1 + 1} (v)

= u \cdot 2 u^{2} cos^{1 + 1} (v)

数を足す:

1 + 1 = 2

= u \cdot 2 u^{2} cos^{2} (v)

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

u u^{2} = u^{1 + 2}

= 2 u^{1 + 2} cos^{2} (v)

数を足す:

1 + 2 = 3

= 2 u^{3} cos^{2} (v)