簡約 2((3x+4y)(4y-3x)(3x-4y))

解

簡約

2 ((3 x + 4 y) (4 y - 3 x) (3 x - 4 y))

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

解答ステップ

2 ((3 x + 4 y) (4 y - 3 x) (3 x - 4 y))

簡素化

(4 y - 3 x) (3 x - 4 y) : - (3 x - 4 y)^{2}

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

括弧を削除する:

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

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

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

規則を適用する:

a (- b) = - ab

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

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