en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Join

\frac{x}{2} - \frac{1}{2 x} : \frac{x ^{2} - 1}{2 x}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

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

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

Popular Examples

simplify-sqrt(20)simplify

- 20

simplify 3/2 pi simplify

\frac{3}{2} π

simplify (x-1)^2-1 simplify

(x - 1)^{2} - 1

simplify 3/4 (3x+6)-1/4 (5x-24)simplify

\frac{3}{4} (3 x + 6) - \frac{1}{4} (5 x - 24)

simplify 2e^{2(0)}simplify

2 e^{2 (0)}

Frequently Asked Questions (FAQ)

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