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

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

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

expand

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

- \frac{x ^{3}}{2} + \frac{5 x ^{2}}{2} - 3 x + 1

Solution steps

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

Distribute parentheses

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

Simplify

- x \frac{1}{2} x^{2} - x (- 2 x) - x \cdot 1 + 1 \cdot \frac{1}{2} x^{2} + 1 \cdot (- 2 x) + 1 \cdot 1 : - \frac{x ^{3}}{2} + \frac{5 x ^{2}}{2} - 3 x + 1

= - \frac{x ^{3}}{2} + \frac{5 x ^{2}}{2} - 3 x + 1

(- 1 + Δ x)^{3}

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

I n (\frac{y f}{x})

\frac{s - 1}{( s ^{2} - 2 s + 10 ) ( s + 2 )}

5 (sin (1) + cos (1) + x (cos (1) - sin (1)))

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