What is (x-3/2)*(x+1/2) ?

The solution to (x-3/2)*(x+1/2) is ((2x-3)(2x+1))/4

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simplify (x-3/2)*(x+1/2)

simplify

(x - \frac{3}{2}) \cdot (x + \frac{1}{2})

\frac{( 2 x - 3 ) ( 2 x + 1 )}{4}

Solution steps

(x - \frac{3}{2}) (x + \frac{1}{2})

Simplify

x - \frac{3}{2} : \frac{2 x - 3}{2}

= \frac{2 x - 3}{2} (x + \frac{1}{2})

Apply the fraction rule:

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

= \frac{( 2 x - 3 ) ( x + \frac{1}{2} )}{2}

Simplify

(2 x - 3) (x + \frac{1}{2}) : \frac{( 2 x - 3 ) ( x \cdot 2 + 1 )}{2}

= \frac{\frac{( 2 x - 3 ) ( x \cdot 2 + 1 )}{2}}{2}

Apply the fraction rule:

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

= \frac{( 2 x - 3 ) ( x \cdot 2 + 1 )}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{( 2 x - 3 ) ( x \cdot 2 + 1 )}{4}

= \frac{( 2 x - 3 ) ( 2 x + 1 )}{4}

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