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

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

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

expand

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

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

Solution steps

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

Expand

(x + 1) (x + 2) : 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

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