What is expand ((x-8)(x+5))/2 ?

The solution to expand ((x-8)(x+5))/2 is (x^2)/2-(3x)/2-20

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expand ((x-8)(x+5))/2

expand

\frac{( x - 8 ) ( x + 5 )}{2}

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

Solution steps

\frac{( x - 8 ) ( x + 5 )}{2}

Expand

(x - 8) (x + 5) : x^{2} - 3 x - 40

= \frac{x ^{2} - 3 x - 40}{2}

Apply the fraction rule:

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

\frac{x ^{2} - 3 x - 40}{2} = \frac{x ^{2}}{2} - \frac{3 x}{2} - \frac{40}{2}

= \frac{x ^{2}}{2} - \frac{3 x}{2} - \frac{40}{2}

Divide the numbers:

\frac{40}{2} = 20

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

2 (11 + 3)

(e^{3 x} + e^{- 3 x})^{2}

(\frac{3}{x} - \frac{x}{3})^{8}

2 x (y + 1) d x - y d y

(a + b x)^{2}

What is expand ((x-8)(x+5))/2 ?
The solution to expand ((x-8)(x+5))/2 is (x^2)/2-(3x)/2-20