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

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

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

expand

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

\frac{x ^{2}}{2} + 4 x + 6

Solution steps

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

Expand

(x + 2) (x + 6) : x^{2} + 8 x + 12

= \frac{x ^{2} + 8 x + 12}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 8 x + 12}{2} = \frac{x ^{2}}{2} + \frac{8 x}{2} + \frac{12}{2}

= \frac{x ^{2}}{2} + \frac{8 x}{2} + \frac{12}{2}

Divide the numbers:

\frac{8}{2} = 4

= \frac{x ^{2}}{2} + 4 x + \frac{12}{2}

Divide the numbers:

\frac{12}{2} = 6

= \frac{x ^{2}}{2} + 4 x + 6

(x + 2 - x^{2}) (x - 2 - x^{2})

(x + Δ x)^{6}

(6 cos (t sin (t)) + 10) \cdot (sin (t) + t cos (t))

x \cdot (x - \frac{1}{2}) \cdot (x - 1)

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

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