因式分解 x^6-27

解答

因式分解

x^{6} - 27

(x^{2} - 3) (x^{4} + 3 x^{2} + 9)

求解步骤

x^{6} - 27

使用指数运算法则

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

使用立方差公式:

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

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

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

3^{2} = 9

= (x^{2} - 3) (x^{4} + 3 x^{2} + 9)

\frac{x}{2} - 5 < - 8

f a c t or x^{2} + 16 x + 48

4 x^{2} - 6 x = 0

(- 1 + 2 i) z + (3 + i) = (6 - 5 i) - (2 + i) z

f a c t or 10 x^{3} + 3 x^{2} - x - 10 x^{2} - 3 x + 1