What is (3x+2)^3-(x-1)^3 ?

The solution to (3x+2)^3-(x-1)^3 is 26x^3+57x^2+33x+9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x+2)^3-(x-1)^3

simplify

(3 x + 2)^{3} - (x - 1)^{3}

26 x^{3} + 57 x^{2} + 33 x + 9

Solution steps

(3 x + 2)^{3} - (x - 1)^{3}

Expand

(3 x + 2)^{3} : 27 x^{3} + 54 x^{2} + 36 x + 8

= 27 x^{3} + 54 x^{2} + 36 x + 8 - (x - 1)^{3}

Expand

- (x - 1)^{3} : - x^{3} + 3 x^{2} - 3 x + 1

= 27 x^{3} + 54 x^{2} + 36 x + 8 - x^{3} + 3 x^{2} - 3 x + 1

Group like terms

= 27 x^{3} - x^{3} + 54 x^{2} + 3 x^{2} + 36 x - 3 x + 8 + 1

Add similar elements:

27 x^{3} - x^{3} = 26 x^{3}

= 26 x^{3} + 54 x^{2} + 3 x^{2} + 36 x - 3 x + 8 + 1

Add similar elements:

54 x^{2} + 3 x^{2} = 57 x^{2}

= 26 x^{3} + 57 x^{2} + 36 x - 3 x + 8 + 1

Add similar elements:

36 x - 3 x = 33 x

= 26 x^{3} + 57 x^{2} + 33 x + 8 + 1

Add the numbers:

8 + 1 = 9

= 26 x^{3} + 57 x^{2} + 33 x + 9

15 x^{- 1} y^{7} z^{2}

(a - 6)^{4}

(x - 2 y)^{6}

\frac{5}{15 b - b}

5 x y (x + 1) + 10 x (x + 1)

What is (3x+2)^3-(x-1)^3 ?
The solution to (3x+2)^3-(x-1)^3 is 26x^3+57x^2+33x+9