因数 3p-2c^3-3c^3p+2

解

因数

3 p - 2 c^{3} - 3 c^{3} p + 2

- (c - 1) (c^{2} + c + 1) (3 p + 2)

解答ステップ

3 p - 2 c^{3} - 3 c^{3} p + 2

因数

3 p - 2 c^{3} - 3 p c^{3} + 2 : (c - 1) (c^{2} + c + 1) (- 3 p - 2)

= (c - 1) (c^{2} + c + 1) (- 3 p - 2)

因数

- 3 p - 2 : - (3 p + 2)

= (c - 1) (c^{2} + c + 1) (- (3 p + 2))

規則を適用する:

a (- b) = - ab

(c - 1) (c^{2} + c + 1) (- (3 p + 2)) = - (c - 1) (c^{2} + c + 1) (3 p + 2)

= - (c - 1) (c^{2} + c + 1) (3 p + 2)