en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^3-a^2+a-1

Solution

factor

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

Solution

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

Solution steps

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

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

Factor out

a^{2}

from

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

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

Factor out common term

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

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

Popular Examples

simplify (4/x)^2 simplify

(\frac{4}{x})^{2}

factor q^2-3q-10 factor

q^{2} - 3 q - 10

(x-3)/(x-2)<= 0

\frac{x - 3}{x - 2} \leq 0

factor 3x^4-10x^3-9x^2+40x-12 factor

3 x^{4} - 10 x^{3} - 9 x^{2} + 40 x - 12

simplify (1/6)^{-1}simplify

(\frac{1}{6})^{- 1}

Frequently Asked Questions (FAQ)

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