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

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

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expand (x(1+x))/2

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Rewrite in standard form

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

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