What is expand ((x+5)(x+6))/2 ?

The solution to expand ((x+5)(x+6))/2 is (x^2)/2+(11x)/2+15

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expand ((x+5)(x+6))/2

expand

\frac{( x + 5 ) ( x + 6 )}{2}

\frac{x ^{2}}{2} + \frac{11 x}{2} + 15

Solution steps

\frac{( x + 5 ) ( x + 6 )}{2}

Expand

(x + 5) (x + 6) : x^{2} + 11 x + 30

= \frac{x ^{2} + 11 x + 30}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 11 x + 30}{2} = \frac{x ^{2}}{2} + \frac{11 x}{2} + \frac{30}{2}

= \frac{x ^{2}}{2} + \frac{11 x}{2} + \frac{30}{2}

Divide the numbers:

\frac{30}{2} = 15

= \frac{x ^{2}}{2} + \frac{11 x}{2} + 15

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

\frac{1}{( x ^{2} - 9 y ^{2} ) ^{2}}

(- a, b, c) (- b, - a, - c)

ln (x^{2} - 36)

0.75 (x + 20 = 2 + 0.5 (x - 2))

What is expand ((x+5)(x+6))/2 ?
The solution to expand ((x+5)(x+6))/2 is (x^2)/2+(11x)/2+15