zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

因式分解 400d^4-4049d^2+7744

解答

因式分解

400 d^{4} - 4049 d^{2} + 7744

解答

(5 d + 8) (5 d - 8) (4 d + 11) (4 d - 11)

求解步骤

400 d^{4} - 4049 d^{2} + 7744

令

u = d^{2}

= 400 u^{2} - 4049 u + 7744

因式分解

400 u^{2} - 4049 u + 7744 : (25 u - 64) (16 u - 121)

= (25 u - 64) (16 u - 121)

u = d^{2}

代回

= (25 d^{2} - 64) (16 d^{2} - 121)

因式分解

25 d^{2} - 64 : (5 d + 8) (5 d - 8)

= (5 d + 8) (5 d - 8) (16 d^{2} - 121)

因式分解

16 d^{2} - 121 : (4 d + 11) (4 d - 11)

= (5 d + 8) (5 d - 8) (4 d + 11) (4 d - 11)

流行的例子

化简 (sqrt(9))^3

s im pl i f y (9)^{3}

x^{2} + 8 = 0

3.1x+6.2=1.05x^2

3.1 x + 6.2 = 1.05 x^{2}

(2x-1)(3x+5)=(x+2)(2x-1)

(2 x - 1) (3 x + 5) = (x + 2) (2 x - 1)

化简 (256x^{16})^{1/4}

s im pl i f y (256 x^{16})^{\frac{1}{4}}