What is (w-3/2)(w+7/2) ?

The solution to (w-3/2)(w+7/2) is ((2w-3)(2w+7))/4

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simplify (w-3/2)(w+7/2)

simplify

(w - \frac{3}{2}) (w + \frac{7}{2})

\frac{( 2 w - 3 ) ( 2 w + 7 )}{4}

Solution steps

(w - \frac{3}{2}) (w + \frac{7}{2})

Simplify

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

= \frac{2 w - 3}{2} (w + \frac{7}{2})

Apply the fraction rule:

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

= \frac{( 2 w - 3 ) ( w + \frac{7}{2} )}{2}

Simplify

(2 w - 3) (w + \frac{7}{2}) : \frac{( 2 w - 3 ) ( w \cdot 2 + 7 )}{2}

= \frac{\frac{( 2 w - 3 ) ( w \cdot 2 + 7 )}{2}}{2}

Apply the fraction rule:

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

= \frac{( 2 w - 3 ) ( w \cdot 2 + 7 )}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{( 2 w - 3 ) ( w \cdot 2 + 7 )}{4}

= \frac{( 2 w - 3 ) ( 2 w + 7 )}{4}

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