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

The solution to (x+1)^3-(x+1) is x^3+3x^2+2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

x^{3} + 3 x^{2} + 2 x

Solution steps

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

Apply the distributive law:

- (a + b) = - a - b

- (x + 1) = - x - 1

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

Expand

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

= x^{3} + 3 x^{2} + 3 x + 1 - x - 1

Group like terms

= x^{3} + 3 x^{2} + 3 x - x + 1 - 1

Add similar elements:

3 x - x = 2 x

= x^{3} + 3 x^{2} + 2 x + 1 - 1

Subtract the numbers:

1 - 1 = 0

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

64000

\frac{1}{12} - \frac{1}{18}

14 \cdot + 8

\frac{1}{2} + \frac{5}{12}