en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor c^3-c^2-c+1

Solution

factor

c^{3} - c^{2} - c + 1

Solution

(c - 1)^{2} (c + 1)

Solution steps

c^{3} - c^{2} - c + 1

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

Factor out

c^{2}

from

c^{3} - c^{2} : c^{2} (c - 1)

Factor out

- 1

from

- c + 1 : - (c - 1)

= c^{2} (c - 1) - (c - 1)

Factor out common term

(c - 1) : (c - 1) (c^{2} - 1)

= (c - 1) (c^{2} - 1)

Factor

c^{2} - 1 : (c + 1) (c - 1)

= (c - 1) (c + 1) (c - 1)

Apply exponent rule:

aa = a^{2}

(c - 1) (c - 1) = (c - 1)^{2}

= (c - 1)^{2} (c + 1)

Popular Examples

\frac{k}{7} \geq - \frac{1}{7}

\frac{16}{9} = 8 y

5 x^{2} - 15 = 45

\frac{x + 1}{x - 1} > - 2

a^{2} + 1 1^{2} = 1 6^{2}

Frequently Asked Questions (FAQ)

What is factor c^3-c^2-c+1 ?
The solution to factor c^3-c^2-c+1 is (c-1)^2(c+1)