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

The solution to expand ((x+5)(x+3))/2 is (x^2)/2+4x+15/2

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

expand

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

\frac{x ^{2}}{2} + 4 x + \frac{15}{2}

Solution steps

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

Expand

(x + 5) (x + 3) : x^{2} + 8 x + 15

= \frac{x ^{2} + 8 x + 15}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 8 x + 15}{2} = \frac{x ^{2}}{2} + \frac{8 x}{2} + \frac{15}{2}

= \frac{x ^{2}}{2} + \frac{8 x}{2} + \frac{15}{2}

Divide the numbers:

\frac{8}{2} = 4

= \frac{x ^{2}}{2} + 4 x + \frac{15}{2}

(2 - e)^{2}

\frac{( 3 x + 5 )}{( x - 1 ) ( x ^{4} + 7 )}

\frac{5 ( - 2 n + k ) ^{3}}{8 n ^{3}}

(x - \frac{π}{4}) sin (2 x)

(d t + t^{7} d w)^{2}

What is expand ((x+5)(x+3))/2 ?
The solution to expand ((x+5)(x+3))/2 is (x^2)/2+4x+15/2