What is expand ((w-20)(380-w))/2 ?

The solution to expand ((w-20)(380-w))/2 is -(w^2)/2+200w-3800

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expand ((w-20)(380-w))/2

expand

\frac{( w - 20 ) ( 380 - w )}{2}

- \frac{w ^{2}}{2} + 200 w - 3800

Solution steps

\frac{( w - 20 ) ( 380 - w )}{2}

Expand

(w - 20) (380 - w) : 400 w - w^{2} - 7600

= \frac{400 w - w ^{2} - 7600}{2}

Apply the fraction rule:

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

\frac{400 w - w ^{2} - 7600}{2} = \frac{400 w}{2} - \frac{w ^{2}}{2} - \frac{7600}{2}

= \frac{400 w}{2} - \frac{w ^{2}}{2} - \frac{7600}{2}

Divide the numbers:

\frac{400}{2} = 200

= 200 w - \frac{w ^{2}}{2} - \frac{7600}{2}

Divide the numbers:

\frac{7600}{2} = 3800

= 200 w - \frac{w ^{2}}{2} - 3800

Rewrite in standard form

= - \frac{w ^{2}}{2} + 200 w - 3800

1 - (\frac{1600}{( s + 4 ) ( s ^{2} + 40 s + 80 )})

5760 \cdot (- 625 \cdot s + 188 \cdot π^{2} \cdot (3 \cdot s + 1280))

\frac{2}{( 3 x + 1 ) ^{4}}

\frac{x ^{\frac{2}{3}}}{x}

M (- 8, 3) N (9, - 1) P (3, 8)

What is expand ((w-20)(380-w))/2 ?
The solution to expand ((w-20)(380-w))/2 is -(w^2)/2+200w-3800