What is expand 200x-10(x-10)((x-10)/2)-100(x-20) ?

The solution to expand 200x-10(x-10)((x-10)/2)-100(x-20) is -5x^2+200x+1500

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expand 200x-10(x-10)((x-10)/2)-100(x-20)

expand

200 x - 10 (x - 10) (\frac{x - 10}{2}) - 100 (x - 20)

- 5 x^{2} + 200 x + 1500

Solution steps

200 x - 10 (x - 10) (\frac{x - 10}{2}) - 100 (x - 20)

Apply rule:

(a) = a

(\frac{x - 10}{2}) = \frac{x - 10}{2}

= 200 x - 10 (x - 10) \frac{x - 10}{2} - 100 (x - 20)

= 200 x - 10 \cdot \frac{x - 10}{2} (x - 10) - 100 (x - 20)

Expand

- 10 \cdot \frac{x - 10}{2} (x - 10) : - 5 x^{2} + 100 x - 500

= 200 x - 5 x^{2} + 100 x - 500 - 100 (x - 20)

Expand

- 100 (x - 20) : - 100 x + 2000

= 200 x - 5 x^{2} + 100 x - 500 - 100 x + 2000

Simplify

200 x - 5 x^{2} + 100 x - 500 - 100 x + 2000 : - 5 x^{2} + 200 x + 1500

= - 5 x^{2} + 200 x + 1500

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

(x^{2} + sin (x)) (sec (x) tan (x))

\frac{( s - 3 )}{( s + 3 ) ^{2}}

\frac{6}{( x - 6 ) ( x ^{2} - 4 )}

(x^{2} z + e^{\frac{y}{x}}) (2 z^{2} y - x y^{2})

What is expand 200x-10(x-10)((x-10)/2)-100(x-20) ?
The solution to expand 200x-10(x-10)((x-10)/2)-100(x-20) is -5x^2+200x+1500