en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

x^{3} - 5 x^{2} + 8 x - 4

Solution steps

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

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= (x^{2} - 4 x + 4) (x - 1)

Distribute parentheses

= x^{2} x + x^{2} (- 1) - 4 xx - 4 x (- 1) + 4 x + 4 (- 1)

Simplify

x^{2} x + x^{2} (- 1) - 4 xx - 4 x (- 1) + 4 x + 4 (- 1) : x^{3} - 5 x^{2} + 8 x - 4

= x^{3} - 5 x^{2} + 8 x - 4

Popular Examples

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

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

simplify-4+7z+3-2z simplify

- 4 + 7 z + 3 - 2 z

simplify 2(x-7)simplify

2 (x - 7)

factor 8x-x^2 factor

8 x - x^{2}

simplify-49^{1/2}simplify

- 4 9^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is expand (x-2)^2(x-1) ?
The solution to expand (x-2)^2(x-1) is x^3-5x^2+8x-4