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

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

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

expand

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

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

Solution steps

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

Expand

(x + 4) (x + 6) : 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

\frac{d}{d t} ((x) (4 - 8 t^{2}))

A (2, - 3) y B (8, 1)

\frac{( x ^{2} + 4 ) 9 - x ^{2}}{x ^{3} - 1}

x (x d v + v d x)

n o t a v e i s (- 5 + \frac{x ^{2}}{2})^{3}

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