en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

expand

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

Solution

\frac{4 x ^{2} - 4 x + 1}{4} - 1

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

x^{2} - 2 x \frac{1}{2} + (\frac{1}{2})^{2} : \frac{4 x ^{2} - 4 x + 1}{4}

= \frac{4 x ^{2} - 4 x + 1}{4} - 1

Popular Examples

expand ((5-x)*2)/(13)expand

\frac{( 5 - x ) \cdot 2}{13}

expand \sqrt[3]{-4}expand

expand 3x(a-2)-2y(a-2)^'expand

3 x (a - 2) - 2 y (a - 2)^{^{'}}

expand (2+x/3)^6 expand

(2 + \frac{x}{3})^{6}

expand \sqrt[3]{-8}expand

Frequently Asked Questions (FAQ)

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