What is expand 1/2 (x-10)(30-x) ?

The solution to expand 1/2 (x-10)(30-x) is -(x^2)/2+20x-150

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expand 1/2 (x-10)(30-x)

expand

\frac{1}{2} (x - 10) (30 - x)

- \frac{x ^{2}}{2} + 20 x - 150

Solution steps

\frac{1}{2} (x - 10) (30 - x)

Expand

\frac{1}{2} (x - 10) (30 - x) : \frac{1}{2} (- x^{2} + 40 x - 300)

= \frac{1}{2} (- x^{2} + 40 x - 300)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

\frac{1}{2} (- x^{2} + 40 x - 300) = \frac{1}{2} (- x^{2}) + \frac{1}{2} \cdot 40 x + \frac{1}{2} (- 300)

= \frac{1}{2} (- x^{2}) + \frac{1}{2} \cdot 40 x + \frac{1}{2} (- 300)

Simplify

\frac{1}{2} (- x^{2}) + \frac{1}{2} \cdot 40 x + \frac{1}{2} (- 300) : - \frac{x ^{2}}{2} + 20 x - 150

= - \frac{x ^{2}}{2} + 20 x - 150

(x + \frac{9}{5}) (x + \frac{2}{5})

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

\frac{21}{x ( x + 3 )}

\frac{d x}{( x + 2 ) ^{2} ( x + 1 )}

tanh (x) (- sech^{2} (x) + 1)

What is expand 1/2 (x-10)(30-x) ?
The solution to expand 1/2 (x-10)(30-x) is -(x^2)/2+20x-150