因式分解 3x^4+6x^2-9

解答

因式分解

3 x^{4} + 6 x^{2} - 9

3 (x + 1) (x - 1) (x^{2} + 3)

求解步骤

3 x^{4} + 6 x^{2} - 9

因式分解出通项

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

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

因式分解

x^{4} + 2 x^{2} - 3 : (x + 1) (x - 1) (x^{2} + 3)

= 3 (x + 1) (x - 1) (x^{2} + 3)

\frac{13}{7} - \frac{1}{9}

x y^{2} + y

s (s + 3) (s + 4) (s + 8)

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

- 8128 + 50