What is factor x^3-3x^2-9x+27 ?

The solution to factor x^3-3x^2-9x+27 is (x-3)^2(x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^3-3x^2-9x+27

factor

x^{3} - 3 x^{2} - 9 x + 27

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

Solution steps

x^{3} - 3 x^{2} - 9 x + 27

= (x^{3} - 3 x^{2}) + (- 9 x + 27)

Factor out

x^{2}

from

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

Factor out

- 9

from

- 9 x + 27 : - 9 (x - 3)

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

Factor out common term

x - 3

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

Factor

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

= (x - 3) (x + 3) (x - 3)

Apply exponent rule:

aa = a^{2}

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

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

∣ 2 y - 7 ∣ \geq 10

8 n + 2 - 10 n < 20

\frac{32 n ^{2}}{24 n}

5 x^{2} - 9 x - 2

2 x^{2} - 4 x + 3 = 0

What is factor x^3-3x^2-9x+27 ?
The solution to factor x^3-3x^2-9x+27 is (x-3)^2(x+3)