en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2a-b)^3

Solution

expand

(2 a - b)^{3}

Solution

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

Solution steps

(2 a - b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

1 \div \frac{1}{3}

expand (x+6)(x-3)expand

(x + 6) (x - 3)

factor x^4-4x^3 factor

x^{4} - 4 x^{3}

simplify (4-3i)(-7-2i)simplify

(4 - 3 i) (- 7 - 2 i)

simplify 7/6+2/5 simplify

\frac{7}{6} + \frac{2}{5}

Frequently Asked Questions (FAQ)

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