因式分解 3x^4-24x

解答

因式分解

3 x^{4} - 24 x

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

求解步骤

3 x^{4} - 24 x

因式分解出通项

3 x : 3 x (x^{3} - 8)

= 3 x (x^{3} - 8)

因式分解

x^{3} - 8 : (x - 2) (x^{2} + 2 x + 2^{2})

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

2^{2} = 4

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

f a c t or + 75 a^{2} c - 45 a^{2} d - 30 b c + 18 b d

e x p an d (a - b)^{2} - c^{2}

s im pl i f y \frac{1}{2 x} + \frac{8}{9 y}

s im pl i f y \frac{3}{5 x ^{2}} - \frac{- 2}{5 x ^{2}}

f a c t or a^{4} - 18 a^{2} + 81