en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x+1)(x-1)^2

Solution

expand

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

Solution

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

Solution steps

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

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

Expand

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

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

Distribute parentheses

= x^{2} x + x^{2} \cdot 1 - 2 xx - 2 x \cdot 1 + 1 \cdot x + 1 \cdot 1

Simplify

x^{2} x + x^{2} \cdot 1 - 2 xx - 2 x \cdot 1 + 1 \cdot x + 1 \cdot 1 : x^{3} - x^{2} - x + 1

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

Popular Examples

\frac{3}{10}

simplify 3\times 5 simplify

3 \times 5

simplify (3-2i)-(5-7i)simplify

(3 - 2 i) - (5 - 7 i)

simplify (9+5i)+(11+2i)simplify

(9 + 5 i) + (11 + 2 i)

expand (x-4)(x-5)expand

(x - 4) (x - 5)

Frequently Asked Questions (FAQ)

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