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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{10}{2} = 5

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

Divide the numbers:

\frac{24}{2} = 12

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

\frac{k ( s + a )}{s ^{2} ( s + b )}

\frac{16 s + 7}{( 8 s ^{2} + 7 s + 2 ) ^{2}}

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

(10 e^{t}) (t^{4} + 1)

x H (x - 1) - H (x - 2) + (2 - x) H (x - 3)

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