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

The solution to expand (2a+b-c)^3 is 8a^3+12a^2b-12a^2c-3b^2c+3bc^2+6ab^2+6ac^2-12abc+b^3-c^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2a+b-c)^3

expand

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

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

Solution steps

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

Simplify

(2 a + b - c)^{3} : (2 a + b - c) (2 a + b - c) (2 a + b - c)

= (2 a + b - c) (2 a + b - c) (2 a + b - c)

Expand

(2 a + b - c) (2 a + b - c) : 4 a^{2} - 2 b c + 4 ab - 4 a c + b^{2} + c^{2}

= (4 a^{2} - 2 b c + 4 ab - 4 a c + b^{2} + c^{2}) (2 a + b - c)

Distribute parentheses

= 4 a^{2} \cdot 2 a + 4 a^{2} b + 4 a^{2} (- c) - 2 b c \cdot 2 a - 2 b c b - 2 b c (- c) + 4 ab \cdot 2 a + 4 abb + 4 ab (- c) - 4 a c \cdot 2 a - 4 a c b - 4 a c (- c) + b^{2} \cdot 2 a + b^{2} b + b^{2} (- c) + c^{2} \cdot 2 a + c^{2} b + c^{2} (- c)

Simplify

4 a^{2} \cdot 2 a + 4 a^{2} b + 4 a^{2} (- c) - 2 b c \cdot 2 a - 2 b c b - 2 b c (- c) + 4 ab \cdot 2 a + 4 abb + 4 ab (- c) - 4 a c \cdot 2 a - 4 a c b - 4 a c (- c) + b^{2} \cdot 2 a + b^{2} b + b^{2} (- c) + c^{2} \cdot 2 a + c^{2} b + c^{2} (- c) : 8 a^{3} + 12 a^{2} b - 12 a^{2} c - 3 b^{2} c + 3 b c^{2} + 6 a b^{2} + 6 a c^{2} - 12 ab c + b^{3} - c^{3}

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

\frac{10 ( r ^{35} p ^{9} )}{( - q )}

(1 - x) (1 + x) (1 + x^{2}) (1 + x^{4})

a^{3} - 12 a^{2} + 48 a - 64

- (a - b)^{3}

(2 x + y)^{7}

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