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

\frac{( x + 2 ) ( x - 4 )}{( x + 4 ) ( x - 5 ) ( x + 1 )}

- 4 x^{5} \cdot x^{5}

lo g_{10} (2) (x + 3)

\frac{1}{k ( k + 1 )}