en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2-a)^3

Solution

expand

(2 - a)^{3}

Solution

8 - 12 a + 6 a^{2} - a^{3}

Solution steps

(2 - a)^{3}

Apply Perfect Cube Formula:

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

(2 - a)^{3} = 2^{3} - 3 \cdot 2^{2} a + 3 \cdot 2 a^{2} - a^{3}

= 2^{3} - 3 \cdot 2^{2} a + 3 \cdot 2 a^{2} - a^{3}

Simplify

2^{3} - 3 \cdot 2^{2} a + 3 \cdot 2 a^{2} - a^{3} : 8 - 12 a + 6 a^{2} - a^{3}

= 8 - 12 a + 6 a^{2} - a^{3}

Popular Examples

expand (5a^2+7b^3)(5a^2-7b^3)expand

(5 a^{2} + 7 b^{3}) (5 a^{2} - 7 b^{3})

factor 16x^4+8x^3-2x-1 factor

16 x^{4} + 8 x^{3} - 2 x - 1

factor 14x^6-45x^3y^3-14y^6 factor

14 x^{6} - 45 x^{3} y^{3} - 14 y^{6}

expand (3y+2x)^{10}expand

(3 y + 2 x)^{10}

expand (2a+b-c)^3 expand

(2 a + b - c)^{3}

Frequently Asked Questions (FAQ)

What is expand (2-a)^3 ?
The solution to expand (2-a)^3 is 8-12a+6a^2-a^3