What is (x+1/2)(x-1/2) ?

The solution to (x+1/2)(x-1/2) is ((2x+1)(2x-1))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Simplify

x + \frac{1}{2} : \frac{2 x + 1}{2}

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Simplify

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

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

Multiply the numbers:

2 \cdot 2 = 4

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

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

(x + i y)^{2}

(1 + i)^{5}

(e^{t} - e^{- t})^{2}

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

(x + i y)^{3}