What is expand-((x-20)^2)/(40) ?

The solution to expand-((x-20)^2)/(40) is -(x^2)/(40)+x-10

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expand-((x-20)^2)/(40)

expand

- \frac{( x - 20 ) ^{2}}{40}

- \frac{x ^{2}}{40} + x - 10

Solution steps

- \frac{( x - 20 ) ^{2}}{40}

(x - 20)^{2} = x^{2} - 40 x + 400

= - \frac{x ^{2} - 40 x + 400}{40}

Apply the fraction rule:

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

\frac{x ^{2} - 40 x + 400}{40} = - (\frac{x ^{2}}{40}) - (- \frac{40 x}{40}) - (\frac{400}{40})

= - (\frac{x ^{2}}{40}) - (- \frac{40 x}{40}) - (\frac{400}{40})

Remove parentheses:

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

= - \frac{x ^{2}}{40} + \frac{40 x}{40} - \frac{400}{40}

Divide the numbers:

\frac{40}{40} = 1

= - \frac{x ^{2}}{40} + x - \frac{400}{40}

Divide the numbers:

\frac{400}{40} = 10

= - \frac{x ^{2}}{40} + x - 10

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What is expand-((x-20)^2)/(40) ?
The solution to expand-((x-20)^2)/(40) is -(x^2)/(40)+x-10