What is expand ((x-3)(x-10))/2 ?

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

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

expand

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

\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

9^{2} - 24 + 16

\frac{5 - 2 x ^{2}}{( x + 1 ) ^{2}}

\frac{s ^{2}}{( s + 1 ) ^{3}}

\frac{d n}{( d an + 1 ) ( d an )}

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

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