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Popular >

expand-((x-10)^2)/2

Solution

expand

- \frac{( x - 10 ) ^{2}}{2}

Solution

- \frac{x ^{2}}{2} + 10 x - 50

Solution steps

- \frac{( x - 10 ) ^{2}}{2}

(x - 10)^{2} = x^{2} - 20 x + 100

= - \frac{x ^{2} - 20 x + 100}{2}

Apply the fraction rule:

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

\frac{x ^{2} - 20 x + 100}{2} = - (\frac{x ^{2}}{2}) - (- \frac{20 x}{2}) - (\frac{100}{2})

= - (\frac{x ^{2}}{2}) - (- \frac{20 x}{2}) - (\frac{100}{2})

Remove parentheses:

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

= - \frac{x ^{2}}{2} + \frac{20 x}{2} - \frac{100}{2}

Divide the numbers:

\frac{20}{2} = 10

= - \frac{x ^{2}}{2} + 10 x - \frac{100}{2}

Divide the numbers:

\frac{100}{2} = 50

= - \frac{x ^{2}}{2} + 10 x - 50

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Frequently Asked Questions (FAQ)

What is expand-((x-10)^2)/2 ?
The solution to expand-((x-10)^2)/2 is -(x^2)/2+10x-50