展開する ((4x-x^2),(4-x)^2)*(-1,4-2x)

解

展開する

((4 x - x^{2}), (4 - x)^{2}) \cdot (- 1, 4 - 2 x)

- 1 \cdot (, (4 x - x^{2}) (4 - x)^{2}), 4 - 2 x (, (4 x - x^{2}) (4 - x)^{2})

解答ステップ

((4 x - x^{2}), (4 - x)^{2}) (- 1, 4 - 2 x)

= (, (4 x - x^{2}) (4 - x)^{2}) (- 1 \cdot 4, - 2 x)

分配法則を適用する:

a (b - c) = ab - a c

a = ((4 x - x^{2}), (4 - x)^{2}), b = - 1, 4, c = 2 x

= ((4 x - x^{2}), (4 - x)^{2}) (- 1, 4) - ((4 x - x^{2}), (4 - x)^{2}) \cdot 2 x

マイナス・プラスの規則を適用する

+ (- a) = - a

= - 1 \cdot (, (4 x - x^{2}) (4 - x)^{2}), 4 - 2 x (, (4 x - x^{2}) (4 - x)^{2})