What is (x-1/4)(x+1/2) ?

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

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simplify (x-1/4)(x+1/2)

simplify

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

\frac{( 4 x - 1 ) ( 2 x + 1 )}{8}

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 4 = 8

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

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

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