What is expand (a+2b)^3+11 ?

The solution to expand (a+2b)^3+11 is a^3+6a^2b+12ab^2+8b^3+11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (a+2b)^3+11

expand

(a + 2 b)^{3} + 11

a^{3} + 6 a^{2} b + 12 a b^{2} + 8 b^{3} + 11

Solution steps

(a + 2 b)^{3} + 11

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} + 11

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} + 11

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

(3 x^{3} \cdot y^{- 3})^{2}

893.4 \cdot 8.51969 - 8218 x

15 x y - 6 x + 5 y - 2

\frac{( a ^{2} + b ^{2} )}{( a ^{2} - b ^{2} )}

What is expand (a+2b)^3+11 ?
The solution to expand (a+2b)^3+11 is a^3+6a^2b+12ab^2+8b^3+11