What is expand (x(3000-3x))/2 ?

The solution to expand (x(3000-3x))/2 is -(3x^2)/2+1500x

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expand (x(3000-3x))/2

expand

\frac{x ( 3000 - 3 x )}{2}

- \frac{3 x ^{2}}{2} + 1500 x

Solution steps

\frac{x ( 3000 - 3 x )}{2}

Expand

x (3000 - 3 x) : 3000 x - 3 x^{2}

= \frac{3000 x - 3 x ^{2}}{2}

Apply the fraction rule:

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

\frac{3000 x - 3 x ^{2}}{2} = \frac{3000 x}{2} - \frac{3 x ^{2}}{2}

= \frac{3000 x}{2} - \frac{3 x ^{2}}{2}

Divide the numbers:

\frac{3000}{2} = 1500

= 1500 x - \frac{3 x ^{2}}{2}

Rewrite in standard form

= - \frac{3 x ^{2}}{2} + 1500 x

\frac{1}{( S ( S + 1 ) ( 0.2 S + 1 ) )}

(9 y^{8} + 2 x^{7} y) d x - (8 x y^{7} + x^{8}) d y

sin^{(π \cdot (1 - t))} (x)

- 2 ((2 + i) x + (2 - i) y = 2 i)

\frac{d}{d y} ((z) (x^{2} + y^{2} - 2 z^{2} + 12 x - 8 z - 4))

What is expand (x(3000-3x))/2 ?
The solution to expand (x(3000-3x))/2 is -(3x^2)/2+1500x