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Popular >

expand ((x-3)(-x+10))/2

Solution

expand

\frac{( x - 3 ) ( - x + 10 )}{2}

Solution

- \frac{x ^{2}}{2} + \frac{13 x}{2} - 15

Solution steps

\frac{( x - 3 ) ( - x + 10 )}{2}

Expand

(x - 3) (- x + 10) : - x^{2} + 13 x - 30

= \frac{- x ^{2} + 13 x - 30}{2}

Apply the fraction rule:

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

\frac{- x ^{2} + 13 x - 30}{2} = - \frac{x ^{2}}{2} + \frac{13 x}{2} - \frac{30}{2}

= - \frac{x ^{2}}{2} + \frac{13 x}{2} - \frac{30}{2}

Divide the numbers:

\frac{30}{2} = 15

= - \frac{x ^{2}}{2} + \frac{13 x}{2} - 15

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Frequently Asked Questions (FAQ)

What is expand ((x-3)(-x+10))/2 ?
The solution to expand ((x-3)(-x+10))/2 is -(x^2)/2+(13x)/2-15