What is expand ((2x+5)(x-4))/2 ?

The solution to expand ((2x+5)(x-4))/2 is x^2-(3x)/2-10

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expand ((2x+5)(x-4))/2

expand

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

x^{2} - \frac{3 x}{2} - 10

Solution steps

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

Expand

(2 x + 5) (x - 4) : 2 x^{2} - 3 x - 20

= \frac{2 x ^{2} - 3 x - 20}{2}

Apply the fraction rule:

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

\frac{2 x ^{2} - 3 x - 20}{2} = \frac{2 x ^{2}}{2} - \frac{3 x}{2} - \frac{20}{2}

= \frac{2 x ^{2}}{2} - \frac{3 x}{2} - \frac{20}{2}

Divide the numbers:

\frac{2}{2} = 1

= x^{2} - \frac{3 x}{2} - \frac{20}{2}

Divide the numbers:

\frac{20}{2} = 10

= x^{2} - \frac{3 x}{2} - 10

4 \times 548

\frac{1 - 5 x}{5 ( 1 - x ) ( 1 + x )}

- e^{3} x (12 sin (2 x) - 5 cos (2 x))

\frac{i ( x - i y ) ^{2}}{( x + i y ) ^{2}}

90 (1 - e^{- \frac{t}{2}})

What is expand ((2x+5)(x-4))/2 ?
The solution to expand ((2x+5)(x-4))/2 is x^2-(3x)/2-10