What is (x+2)^3-(x-2)^3 ?

The solution to (x+2)^3-(x-2)^3 is 12x^2+16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x+2)^3-(x-2)^3

simplify

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

12 x^{2} + 16

Solution steps

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

Expand

(x + 2)^{3} : x^{3} + 6 x^{2} + 12 x + 8

= x^{3} + 6 x^{2} + 12 x + 8 - (x - 2)^{3}

Expand

- (x - 2)^{3} : - x^{3} + 6 x^{2} - 12 x + 8

= x^{3} + 6 x^{2} + 12 x + 8 - x^{3} + 6 x^{2} - 12 x + 8

Group like terms

= x^{3} - x^{3} + 6 x^{2} + 6 x^{2} + 12 x - 12 x + 8 + 8

Add similar elements:

x^{3} - x^{3} = 0

= 6 x^{2} + 6 x^{2} + 12 x - 12 x + 8 + 8

Add similar elements:

6 x^{2} + 6 x^{2} = 12 x^{2}

= 12 x^{2} + 12 x - 12 x + 8 + 8

Add similar elements:

12 x - 12 x = 0

= 12 x^{2} + 8 + 8

Add the numbers:

8 + 8 = 16

= 12 x^{2} + 16

(n^{3} + 3) (n^{3} - 6)

0.2 5^{5}

0 - 9

5 xx

\frac{20 ! + 21 ! + 22 !}{20 ! + 21 !}