What is expand ((x+2)(7-x))/2 ?

The solution to expand ((x+2)(7-x))/2 is -(x^2)/2+(5x)/2+7

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expand ((x+2)(7-x))/2

expand

\frac{( x + 2 ) ( 7 - x )}{2}

- \frac{x ^{2}}{2} + \frac{5 x}{2} + 7

Solution steps

\frac{( x + 2 ) ( 7 - x )}{2}

Expand

(x + 2) (7 - x) : 5 x - x^{2} + 14

= \frac{5 x - x ^{2} + 14}{2}

Apply the fraction rule:

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

\frac{5 x - x ^{2} + 14}{2} = \frac{5 x}{2} - \frac{x ^{2}}{2} + \frac{14}{2}

= \frac{5 x}{2} - \frac{x ^{2}}{2} + \frac{14}{2}

Divide the numbers:

\frac{14}{2} = 7

= \frac{5 x}{2} - \frac{x ^{2}}{2} + 7

Rewrite in standard form

= - \frac{x ^{2}}{2} + \frac{5 x}{2} + 7

\frac{2 + s ^{2}}{( s ^{2} + s - 2 ) \cdot s ^{2}}

(k + 2)^{2} (k^{2} + 4 k + 4)

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

\frac{1 - 5 n ^{4}}{( 2 n ^{2} + 1 ) ^{2}}

\frac{d}{d y} ((x) (x^{2} + y^{2} - 2 y - 10))

What is expand ((x+2)(7-x))/2 ?
The solution to expand ((x+2)(7-x))/2 is -(x^2)/2+(5x)/2+7