en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (a+2b)^3

Solution

expand

(a + 2 b)^{3}

Solution

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

Solution steps

(a + 2 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

a^{3} + 3 a^{2} \cdot 2 b + 3 a (2 b)^{2} + (2 b)^{3} : a^{3} + 6 a^{2} b + 12 a b^{2} + 8 b^{3}

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

Popular Examples

factor 20ab^2-5a^3b factor

20 a b^{2} - 5 a^{3} b

simplify sqrt(456)simplify

456

join-1/2+(sqrt(3))/2 i join

- \frac{1}{2} + \frac{3}{2} i

simplify-5/(-5)simplify

- \frac{5}{- 5}

simplify-5/(-3)simplify

- \frac{5}{- 3}

Frequently Asked Questions (FAQ)

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