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}

(x + 3)^{4}

(x - \frac{2}{x})^{5}

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

(x^{\frac{2}{3}} - y^{\frac{1}{3}})^{3}

(x + 37) (x - 7)

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