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

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

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

simplify

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

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

Solution steps

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

Join

2 x - \frac{1}{2} : \frac{4 x - 1}{2}

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

\frac{1}{( 2 - 3 i ) ^{5}}

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