What is expand (3a-2b^2)^3 ?

The solution to expand (3a-2b^2)^3 is 27a^3-54a^2b^2+36ab^4-8b^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

27 a^{3} - 54 a^{2} b^{2} + 36 a b^{4} - 8 b^{6}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 a)^{3} - 3 (3 a)^{2} \cdot 2 b^{2} + 3 \cdot 3 a (2 b^{2})^{2} - (2 b^{2})^{3} : 27 a^{3} - 54 a^{2} b^{2} + 36 a b^{4} - 8 b^{6}

= 27 a^{3} - 54 a^{2} b^{2} + 36 a b^{4} - 8 b^{6}

\frac{- 2.9 9 ^{3} + 27}{- 2.99 + 3}

143 + 305 \cdot 70 He ll a o

\frac{5}{9} \cdot (- 32)

\frac{13}{20} - \frac{2}{5}

- (- 4.2 r - s + 3.9)

What is expand (3a-2b^2)^3 ?
The solution to expand (3a-2b^2)^3 is 27a^3-54a^2b^2+36ab^4-8b^6