What is (x-5/2)*(x+5/2) ?

The solution to (x-5/2)*(x+5/2) is ((2x-5)(2x+5))/4

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simplify (x-5/2)*(x+5/2)

simplify

(x - \frac{5}{2}) \cdot (x + \frac{5}{2})

\frac{( 2 x - 5 ) ( 2 x + 5 )}{4}

Solution steps

(x - \frac{5}{2}) (x + \frac{5}{2})

Simplify

x - \frac{5}{2} : \frac{2 x - 5}{2}

= \frac{2 x - 5}{2} (x + \frac{5}{2})

Apply the fraction rule:

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

= \frac{( 2 x - 5 ) ( x + \frac{5}{2} )}{2}

Simplify

(2 x - 5) (x + \frac{5}{2}) : \frac{( 2 x - 5 ) ( x \cdot 2 + 5 )}{2}

= \frac{\frac{( 2 x - 5 ) ( x \cdot 2 + 5 )}{2}}{2}

Apply the fraction rule:

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

= \frac{( 2 x - 5 ) ( x \cdot 2 + 5 )}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{( 2 x - 5 ) ( x \cdot 2 + 5 )}{4}

= \frac{( 2 x - 5 ) ( 2 x + 5 )}{4}

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