What is factor x^4-2x^3+8x-16 ?

The solution to factor x^4-2x^3+8x-16 is (x-2)(x+2)(x^2-2x+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4-2x^3+8x-16

factor

x^{4} - 2 x^{3} + 8 x - 16

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

Solution steps

x^{4} - 2 x^{3} + 8 x - 16

= (x^{4} - 2 x^{3}) + (8 x - 16)

Factor out

x^{3}

from

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

Factor out

8

from

8 x - 16 : 8 (x - 2)

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

Factor out common term

x - 2

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

Factor

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

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

2^{2} = 4

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

3.8 x = 2.736

14 \cdot 9

\frac{π}{2} - \frac{π}{2}

64 y^{2} - x^{2}

k^{- 4} j^{0}

What is factor x^4-2x^3+8x-16 ?
The solution to factor x^4-2x^3+8x-16 is (x-2)(x+2)(x^2-2x+4)