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

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

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

expand

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

\frac{x ^{2}}{2} + \frac{3 x}{2} + 1

Solution steps

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

Expand

(x + 2) (x + 1) : x^{2} + 3 x + 2

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

Apply the fraction rule:

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

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

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

Apply rule

\frac{a}{a} = 1

\frac{2}{2} = 1

= \frac{x ^{2}}{2} + \frac{3 x}{2} + 1

π (2 + ln (2 - 1))

\frac{s ^{3} + 25 s + 2 s ^{2} + 55}{( s ^{2} + 2 s + 2 ) ( s ^{2} + 25 )}

\frac{x ^{2} - 3}{x ^{2}}

(2 x^{3} - x y^{2}) d x

(\frac{x + 5}{x} \circ x^{2} + 5) (- 3)

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