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

The solution to expand ((x+4)(x+2))/2 is (x^2)/2+3x+4

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

expand

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

\frac{x ^{2}}{2} + 3 x + 4

Solution steps

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

Expand

(x + 4) (x + 2) : x^{2} + 6 x + 8

= \frac{x ^{2} + 6 x + 8}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 6 x + 8}{2} = \frac{x ^{2}}{2} + \frac{6 x}{2} + \frac{8}{2}

= \frac{x ^{2}}{2} + \frac{6 x}{2} + \frac{8}{2}

Divide the numbers:

\frac{6}{2} = 3

= \frac{x ^{2}}{2} + 3 x + \frac{8}{2}

Divide the numbers:

\frac{8}{2} = 4

= \frac{x ^{2}}{2} + 3 x + 4

(- y - e^{3 x}) y

- \frac{7 ( - 4 - 4 x )}{3}

e^{(1 - 2 x)^{8}}

2 (\frac{1 - 4 y}{3})^{2}

\frac{5 x - 11}{( x + 1 ) ( x + 5 )}

What is expand ((x+4)(x+2))/2 ?
The solution to expand ((x+4)(x+2))/2 is (x^2)/2+3x+4