What is (z-1/2)(z-1/4) ?

The solution to (z-1/2)(z-1/4) is ((2z-1)(4z-1))/8

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simplify (z-1/2)(z-1/4)

simplify

(z - \frac{1}{2}) (z - \frac{1}{4})

\frac{( 2 z - 1 ) ( 4 z - 1 )}{8}

Solution steps

(z - \frac{1}{2}) (z - \frac{1}{4})

Simplify

z - \frac{1}{2} : \frac{2 z - 1}{2}

= \frac{2 z - 1}{2} (z - \frac{1}{4})

Apply the fraction rule:

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

= \frac{( 2 z - 1 ) ( z - \frac{1}{4} )}{2}

Simplify

(2 z - 1) (z - \frac{1}{4}) : \frac{( 2 z - 1 ) ( z \cdot 4 - 1 )}{4}

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

Apply the fraction rule:

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

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

Multiply the numbers:

4 \cdot 2 = 8

= \frac{( 2 z - 1 ) ( z \cdot 4 - 1 )}{8}

= \frac{( 2 z - 1 ) ( 4 z - 1 )}{8}

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