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

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

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

expand

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

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

Solution steps

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

Expand

(x + 6) (x + 2) : 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

(3 + 2) + i (4 + 2)

\frac{7 ( 7 a c x + 12 ) + 24 cy x}{42 c x}

\frac{( - 2 c + 1 ) ( 2 c + 1 )}{4}

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

3 c + 6

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