en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x-2)^3-1

Solution

factor

(x - 2)^{3} - 1

Solution

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

Solution steps

(x - 2)^{3} - 1

Rewrite

1

as

1^{3}

= (x - 2)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

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

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

Refine

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

Expand

(x - 2)^{2} + x - 2 + 1 : x^{2} - 3 x + 3

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

Popular Examples

factor e^2+2e+1 factor

e^{2} + 2 e + 1

factor 6a-bc-2ac+3b factor

6 a - b c - 2 a c + 3 b

factor c^4d^2-16e^2f^4 factor

c^{4} d^{2} - 16 e^{2} f^{4}

factor (x+y)^3-3xy(1-x-y)-1 factor

(x + y)^{3} - 3 x y (1 - x - y) - 1

factor a+(-r)+(2)factor

a + (- r) + (2)

Frequently Asked Questions (FAQ)

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