What is expand ((-x+15)(-x+10))/2 ?

The solution to expand ((-x+15)(-x+10))/2 is (x^2)/2-(25x)/2+75

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expand ((-x+15)(-x+10))/2

expand

\frac{( - x + 15 ) ( - x + 10 )}{2}

\frac{x ^{2}}{2} - \frac{25 x}{2} + 75

Solution steps

\frac{( - x + 15 ) ( - x + 10 )}{2}

Expand

(- x + 15) (- x + 10) : x^{2} - 25 x + 150

= \frac{x ^{2} - 25 x + 150}{2}

Apply the fraction rule:

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

\frac{x ^{2} - 25 x + 150}{2} = \frac{x ^{2}}{2} - \frac{25 x}{2} + \frac{150}{2}

= \frac{x ^{2}}{2} - \frac{25 x}{2} + \frac{150}{2}

Divide the numbers:

\frac{150}{2} = 75

= \frac{x ^{2}}{2} - \frac{25 x}{2} + 75

\frac{( a ^{2 n} - 1 ) ^{2}}{a ^{2 n}}

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

\frac{( k ( k + 1 ) ( 2 k + 1 ) )}{6}

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

(9 - 2 x)^{2} (x) 0

What is expand ((-x+15)(-x+10))/2 ?
The solution to expand ((-x+15)(-x+10))/2 is (x^2)/2-(25x)/2+75