What is expand ((x-3)(x+5))/2 ?

The solution to expand ((x-3)(x+5))/2 is (x^2)/2+x-15/2

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expand ((x-3)(x+5))/2

expand

\frac{( x - 3 ) ( x + 5 )}{2}

\frac{x ^{2}}{2} + x - \frac{15}{2}

Solution steps

\frac{( x - 3 ) ( x + 5 )}{2}

Expand

(x - 3) (x + 5) : x^{2} + 2 x - 15

= \frac{x ^{2} + 2 x - 15}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 2 x - 15}{2} = \frac{x ^{2}}{2} + \frac{2 x}{2} - \frac{15}{2}

= \frac{x ^{2}}{2} + \frac{2 x}{2} - \frac{15}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{x ^{2}}{2} + x - \frac{15}{2}

(\frac{- 2 x + 5}{3})^{2}

e^{3 t} (t + cos (t))^{2}

\frac{s}{( s ^{2} + 4 ) ( s ^{2} + 1 )}

\frac{x ^{2} + 4 x}{( x + 2 ) ^{2}}

(4 x + 3 y) (x - 3 y)

What is expand ((x-3)(x+5))/2 ?
The solution to expand ((x-3)(x+5))/2 is (x^2)/2+x-15/2