What is expand (b+8c)^3 ?

The solution to expand (b+8c)^3 is b^3+24b^2c+192bc^2+512c^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (b+8c)^3

expand

(b + 8 c)^{3}

b^{3} + 24 b^{2} c + 192 b c^{2} + 512 c^{3}

Solution steps

(b + 8 c)^{3}

Apply Perfect Cube Formula:

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

(b + 8 c)^{3} = b^{3} + 3 b^{2} \cdot 8 c + 3 b (8 c)^{2} + (8 c)^{3}

= b^{3} + 3 b^{2} \cdot 8 c + 3 b (8 c)^{2} + (8 c)^{3}

Simplify

b^{3} + 3 b^{2} \cdot 8 c + 3 b (8 c)^{2} + (8 c)^{3} : b^{3} + 24 b^{2} c + 192 b c^{2} + 512 c^{3}

= b^{3} + 24 b^{2} c + 192 b c^{2} + 512 c^{3}

2 x^{3} - 11 x^{2} + 13 x - 4

\frac{3 x ^{3} + 3}{3}

(\frac{- b}{6})^{2}

- 11 x^{2} + 60 x - 0

\frac{- cot ( x ) sin ( x ) + cos ^{3} ( x )}{sin ( x ) - cot ( x )}

What is expand (b+8c)^3 ?
The solution to expand (b+8c)^3 is b^3+24b^2c+192bc^2+512c^3