What is (x/2-3/4)(x/2+3/4) ?

The solution to (x/2-3/4)(x/2+3/4) is ((2x-3)(2x+3))/(16)

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simplify (x/2-3/4)(x/2+3/4)

simplify

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

\frac{( 2 x - 3 ) ( 2 x + 3 )}{16}

Solution steps

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

Simplify

\frac{x}{2} - \frac{3}{4} : \frac{2 x - 3}{4}

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

4 \cdot 4 = 16

= \frac{( 2 x - 3 ) ( x \cdot 2 + 3 )}{16}

= \frac{( 2 x - 3 ) ( 2 x + 3 )}{16}

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

\frac{1}{( x ^{2} + 5 ) ^{6}}

\frac{( n + 1 ) ^{2} \cdot ( n + 2 ) ^{2}}{4}

\frac{2 s}{( s ^{2} + 4 s + 5 ) ^{2}}

\frac{4 s + 3}{6 s ( s - 1 )}

What is (x/2-3/4)(x/2+3/4) ?
The solution to (x/2-3/4)(x/2+3/4) is ((2x-3)(2x+3))/(16)