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

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

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

expand

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

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

Solution steps

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

Expand

(x + 3) (x + 5) : 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}

\frac{( - x + 15 ) ( x - 10 )}{2}

\frac{x ^{2}}{( x - 5 ) ^{2} ( x + 1 )}

- \frac{3 ( n ^{2} + 14 )}{2 n - 6}

\frac{( s + 3 + 2 )}{s + 2}

\frac{( 4 x - 1 )}{( x + 1 ) ( x - 4 )}

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