What is expand ((x+6)(x+4))/2 ?

The solution to expand ((x+6)(x+4))/2 is (x^2)/2+5x+12

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expand ((x+6)(x+4))/2

expand

\frac{( x + 6 ) ( x + 4 )}{2}

\frac{x ^{2}}{2} + 5 x + 12

Solution steps

\frac{( x + 6 ) ( x + 4 )}{2}

Expand

(x + 6) (x + 4) : x^{2} + 10 x + 24

= \frac{x ^{2} + 10 x + 24}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 10 x + 24}{2} = \frac{x ^{2}}{2} + \frac{10 x}{2} + \frac{24}{2}

= \frac{x ^{2}}{2} + \frac{10 x}{2} + \frac{24}{2}

Divide the numbers:

\frac{10}{2} = 5

= \frac{x ^{2}}{2} + 5 x + \frac{24}{2}

Divide the numbers:

\frac{24}{2} = 12

= \frac{x ^{2}}{2} + 5 x + 12

9 x^{2} (\frac{3}{3 x + 3})

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

3 x (x y - 3) d x + (x^{2} + 2 y) d y

\frac{x ^{2} - x - 4}{x ^{2} ( x + 1 )}

(- x + y + z = 3) \cdot (2)

What is expand ((x+6)(x+4))/2 ?
The solution to expand ((x+6)(x+4))/2 is (x^2)/2+5x+12