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

The solution to (a-b)^3-(b-a)^3 is 2a^3-6a^2b+6ab^2-2b^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a-b)^3-(b-a)^3

simplify

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

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

Solution steps

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

Expand

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

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

Expand

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

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

Add similar elements:

- b^{3} - b^{3} = - 2 b^{3}

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

Group like terms

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

Add similar elements:

a^{3} + a^{3} = 2 a^{3}

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

Add similar elements:

- 3 a^{2} b - 3 a^{2} b = - 6 a^{2} b

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

Add similar elements:

3 a b^{2} + 3 a b^{2} = 6 a b^{2}

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

(3 m^{- 2} n^{4})^{- 2}

(1.5 a + 1.3) (0.4 a^{2} - 2 a + 3)

\frac{( x - 4 )}{( x - 4 ^{2} ) \cdot ( x + 4 )}

(y^{2} - y + 3) (y^{2} + y - 3)

f (x) 5 x - 10

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