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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

= - (\frac{x ^{2}}{2}) - (- \frac{2 x}{2}) - (\frac{1}{2})

Remove parentheses:

(a) = a, - (- a) = a

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

Divide the numbers:

\frac{2}{2} = 1

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

\frac{1}{( s - 2 ) ^{2}}

10.125 \cdot 3

(\frac{2 t ^{2} + 1}{t ^{3} - t} - x) \cdot (\frac{1}{t - t ^{3}} - x)

5 (2 + 6 π)

\frac{8 x ^{4} + 42 x ^{2} - 40 x}{( 4 x ^{2} + 7 ) ^{2}}

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