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

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

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

simplify

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

\frac{26}{( x + 3 ) ( x ^{2} + 4 )}

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

\frac{6 x ^{2} - 10 x + 36}{( x ^{2} + 7 ) ( x - 4 )}