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

simplify (5-2i)/(-4-9i)simplify

\frac{5 - 2 i}{- 4 - 9 i}

simplify 18\times 2 simplify

18 \times 2

simplify log_{1/2}(sqrt(128))simplify

lo g_{\frac{1}{2}} (128)

expand (a^7-b^7)^2 expand

(a^{7} - b^{7})^{2}

simplify 2/3+5/4 simplify

\frac{2}{3} + \frac{5}{4}

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