What is expand (x(4-x))/2 ?

The solution to expand (x(4-x))/2 is -(x^2)/2+2x

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expand (x(4-x))/2

expand

\frac{x ( 4 - x )}{2}

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

Solution steps

\frac{x ( 4 - x )}{2}

Expand

x (4 - x) : 4 x - x^{2}

= \frac{4 x - x ^{2}}{2}

Apply the fraction rule:

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

\frac{4 x - x ^{2}}{2} = \frac{4 x}{2} - \frac{x ^{2}}{2}

= \frac{4 x}{2} - \frac{x ^{2}}{2}

Divide the numbers:

\frac{4}{2} = 2

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

Rewrite in standard form

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

x (2 x^{3} - 3 y^{3}) d y - y (2 x^{3} - y^{3}) d x

P (- 2, 4) y Q (4, - 6)

2 π (\frac{4 π}{3} - 1)

(n + 1)! (n + 2)

(2 n - 1) (2 n + 1) π