What is expand-1/2 (-x+5)(x-2)^2 ?

The solution to expand-1/2 (-x+5)(x-2)^2 is (x^3)/2-(9x^2)/2+12x-10

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expand-1/2 (-x+5)(x-2)^2

expand

- \frac{1}{2} (- x + 5) (x - 2)^{2}

\frac{x ^{3}}{2} - \frac{9 x ^{2}}{2} + 12 x - 10

Solution steps

- \frac{1}{2} (- x + 5) (x - 2)^{2}

= - \frac{1}{2} (x - 2)^{2} (- x + 5)

Expand

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

= - \frac{1}{2} (x^{2} - 4 x + 4) (- x + 5)

Expand

- \frac{1}{2} (- x + 5) : \frac{x}{2} - \frac{5}{2}

= (\frac{x}{2} - \frac{5}{2}) (x^{2} - 4 x + 4)

Distribute parentheses

= \frac{x}{2} x^{2} + \frac{x}{2} (- 4 x) + \frac{x}{2} \cdot 4 - \frac{5}{2} x^{2} - \frac{5}{2} (- 4 x) - \frac{5}{2} \cdot 4

Simplify

\frac{x}{2} x^{2} + \frac{x}{2} (- 4 x) + \frac{x}{2} \cdot 4 - \frac{5}{2} x^{2} - \frac{5}{2} (- 4 x) - \frac{5}{2} \cdot 4 : \frac{x ^{3}}{2} - \frac{9 x ^{2}}{2} + 12 x - 10

= \frac{x ^{3}}{2} - \frac{9 x ^{2}}{2} + 12 x - 10

(u - y^{5} + x^{5})^{5}

- 5 + 50 \cdot \frac{1}{s}

x (e^{2 y} - 2 e^{y}) + 8

4 (\frac{13 - 2 ( \frac{50}{24 - x} )}{6} + 3 = 5)

2 (m + 1 = 5)

What is expand-1/2 (-x+5)(x-2)^2 ?
The solution to expand-1/2 (-x+5)(x-2)^2 is (x^3)/2-(9x^2)/2+12x-10