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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{2}{2} = 1

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

Rewrite in standard form

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

\frac{d ^{2}}{d k ^{2}} ((x) (e^{2 x} - k x))

\frac{1}{2 ( 12 a - 8 b )}

(- 1 - x) \cdot (- 4 - y) - (- x) \cdot (- y)

(e^{x} - 1)^{2}

(- 4 x^{\frac{5}{3}}) (5 x^{4} - 10 x)

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