因式分解 2x^4-5x^2-3

解答

因式分解

2 x^{4} - 5 x^{2} - 3

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

求解步骤

2 x^{4} - 5 x^{2} - 3

令

u = x^{2}

= 2 u^{2} - 5 u - 3

因式分解

2 u^{2} - 5 u - 3 : (2 u + 1) (u - 3)

= (2 u + 1) (u - 3)

u = x^{2}

代回

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

2 y^{2} + 1 = 6 y

s im pl i f y (\frac{2}{3})^{1}

\frac{x + 6}{x - 6} < 0

(3 x + 5) - 2 (- 7 x + 8) = 7 (- x + 2)

f a c t or 14 c^{3} - 42 c^{5} - 49 c^{4}