What is expand ((x+5)(x+1))/2 ?

The solution to expand ((x+5)(x+1))/2 is (x^2)/2+3x+5/2

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expand ((x+5)(x+1))/2

expand

\frac{( x + 5 ) ( x + 1 )}{2}

\frac{x ^{2}}{2} + 3 x + \frac{5}{2}

Solution steps

\frac{( x + 5 ) ( x + 1 )}{2}

Expand

(x + 5) (x + 1) : x^{2} + 6 x + 5

= \frac{x ^{2} + 6 x + 5}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 6 x + 5}{2} = \frac{x ^{2}}{2} + \frac{6 x}{2} + \frac{5}{2}

= \frac{x ^{2}}{2} + \frac{6 x}{2} + \frac{5}{2}

Divide the numbers:

\frac{6}{2} = 3

= \frac{x ^{2}}{2} + 3 x + \frac{5}{2}

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

(- 2 x)^{2}

\frac{( x - 2 ) ( x - 4 )}{8}

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

lo g_{10} (\frac{9 x - 6}{x + 6})

What is expand ((x+5)(x+1))/2 ?
The solution to expand ((x+5)(x+1))/2 is (x^2)/2+3x+5/2